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172124864 = 2617281563
BaseRepresentation
bin10100100001001…
…10101011000000
3102222212211220222
422100212223000
5323030443424
625025122212
74160015522
oct1220465300
9388784828
10172124864
1189183a5a
1249789368
1329877542
1418c07a12
151019ee5e
hexa426ac0

172124864 has 56 divisors (see below), whose sum is σ = 363583728. Its totient is φ = 80568320.

The previous prime is 172124833. The next prime is 172124899. The reversal of 172124864 is 468421271.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305447 + ... + 306009.

Almost surely, 2172124864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181791864).

172124864 is an abundant number, since it is smaller than the sum of its proper divisors (191458864).

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

172124864 is a wasteful number, since it uses less digits than its factorization.

172124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 172124864 is about 13119.6365803326. The cubic root of 172124864 is about 556.2643188840.

The spelling of 172124864 in words is "one hundred seventy-two million, one hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 281 544 562 563 1088 1124 1126 2248 2252 4496 4504 4777 8992 9008 9554 9571 17984 18016 19108 19142 36032 38216 38284 76432 76568 152864 153136 158203 305728 306272 316406 612544 632812 1265624 2531248 2689451 5062496 5378902 10124992 10757804 21515608 43031216 86062432 172124864