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705157050 = 235213536823
BaseRepresentation
bin101010000001111…
…101011110111010
31211010212200121210
4222001331132322
52421010011200
6153545543550
723321510313
oct5201753672
91733780553
10705157050
11332051a24
121781a4bb6
13b31267c0
146991b60a
1541d90650
hex2a07d7ba

705157050 has 96 divisors (see below), whose sum is σ = 1919127168. Its totient is φ = 170277120.

The previous prime is 705157039. The next prime is 705157109. The reversal of 705157050 is 50751507.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 705156999 and 705157017.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99939 + ... + 106761.

It is an arithmetic number, because the mean of its divisors is an integer number (19990908).

Almost surely, 2705157050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705157050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959563584).

705157050 is an abundant number, since it is smaller than the sum of its proper divisors (1213970118).

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

705157050 is a wasteful number, since it uses less digits than its factorization.

705157050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 30.

The square root of 705157050 is about 26554.7933526134. The cubic root of 705157050 is about 890.0791285956.

The spelling of 705157050 in words is "seven hundred five million, one hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 53 65 75 78 106 130 150 159 195 265 318 325 390 530 650 689 795 975 1325 1378 1590 1950 2067 2650 3445 3975 4134 6823 6890 7950 10335 13646 17225 20469 20670 34115 34450 40938 51675 68230 88699 102345 103350 170575 177398 204690 266097 341150 361619 443495 511725 532194 723238 886990 1023450 1084857 1330485 1808095 2169714 2217475 2660970 3616190 4434950 4701047 5424285 6652425 9040475 9402094 10848570 13304850 14103141 18080950 23505235 27121425 28206282 47010470 54242850 70515705 117526175 141031410 235052350 352578525 705157050