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799475625 = 3254132292
BaseRepresentation
bin101111101001110…
…000011110101001
32001201100120101100
4233221300132221
53114131210000
6211155312013
725545300504
oct5751603651
92051316340
10799475625
11380312963
121a38ab609
13c982b300
147827013b
154a2c1a00
hex2fa707a9

799475625 has 135 divisors (see below), whose sum is σ = 1618317129. Its totient is φ = 380016000.

The previous prime is 799475623. The next prime is 799475627. The reversal of 799475625 is 526574997.

The square root of 799475625 is 28275.

It is a perfect power (a square), and thus also a powerful number.

799475625 is a `hidden beast` number, since 7 + 9 + 9 + 4 + 7 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (799475623) and next prime (799475627).

It can be written as a sum of positive squares in 22 ways, for example, as 506655081 + 292820544 = 22509^2 + 17112^2 .

It is not a de Polignac number, because 799475625 - 21 = 799475623 is a prime.

It is a super-2 number, since 2×7994756252 = 1278322549938281250, which contains 22 as substring.

Its product of digits (4762800) is a multiple of the sum of its prime divisors (50).

It is not an unprimeable number, because it can be changed into a prime (799475623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27568111 + ... + 27568139.

Almost surely, 2799475625 is an apocalyptic number.

799475625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

799475625 is the 28275-th square number.

799475625 is the 14138-th centered octagonal number.

It is an amenable number.

799475625 is an abundant number, since it is smaller than the sum of its proper divisors (818841504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

799475625 is a wasteful number, since it uses less digits than its factorization.

799475625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The cubic root of 799475625 is about 928.1148946286.

The spelling of 799475625 in words is "seven hundred ninety-nine million, four hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 125 145 169 195 225 261 325 375 377 435 507 585 625 725 841 845 975 1125 1131 1305 1521 1625 1875 1885 2175 2523 2535 2925 3393 3625 4205 4225 4875 4901 5625 5655 6525 7569 7605 8125 9425 10875 10933 12615 12675 14625 14703 16965 18125 21025 21125 24375 24505 28275 32625 32799 37845 38025 44109 47125 54375 54665 63075 63375 73125 73515 84825 98397 105125 105625 122525 141375 142129 163125 163995 189225 190125 220545 235625 273325 315375 316875 367575 424125 426387 491985 525625 612625 706875 710645 819975 946125 950625 1102725 1279161 1366625 1576875 1837875 2120625 2131935 2459925 3063125 3553225 4099875 4730625 5513625 6395805 6833125 9189375 10659675 12299625 17766125 20499375 27568125 31979025 53298375 61498125 88830625 159895125 266491875 799475625