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96692625 = 3253611409
BaseRepresentation
bin1011100001101…
…10100110010001
320201221111100100
411300312212101
5144223131000
613332243013
72252605461
oct560664621
9221844310
1096692625
114a642667
1228470469
1317056293
14cbadba1
15874ea00
hex5c36991

96692625 has 48 divisors (see below), whose sum is σ = 177287760. Its totient is φ = 50688000.

The previous prime is 96692611. The next prime is 96692633. The reversal of 96692625 is 52629669.

It can be written as a sum of positive squares in 8 ways, for example, as 86713344 + 9979281 = 9312^2 + 3159^2 .

It is not a de Polignac number, because 96692625 - 210 = 96691601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67921 + ... + 69329.

It is an arithmetic number, because the mean of its divisors is an integer number (3693495).

Almost surely, 296692625 is an apocalyptic number.

It is an amenable number.

96692625 is a deficient number, since it is larger than the sum of its proper divisors (80595135).

96692625 is a wasteful number, since it uses less digits than its factorization.

96692625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1478 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 96692625 is about 9833.2408187738. The cubic root of 96692625 is about 458.9842505311.

The spelling of 96692625 in words is "ninety-six million, six hundred ninety-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 183 225 305 375 549 915 1125 1409 1525 2745 4227 4575 7045 7625 12681 13725 21135 22875 35225 63405 68625 85949 105675 176125 257847 317025 429745 528375 773541 1289235 1585125 2148725 3867705 6446175 10743625 19338525 32230875 96692625