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427172352 = 293713917
BaseRepresentation
bin11001011101100…
…010001000000000
31002202210121022020
4121131202020000
51333324003402
6110215441440
713404622305
oct3135421000
91082717266
10427172352
111aa144a02
12bb086280
136a666509
1440a390ac
152777e8bc
hex19762200

427172352 has 80 divisors (see below), whose sum is σ = 1154336832. Its totient is φ = 140349440.

The previous prime is 427172341. The next prime is 427172359. The reversal of 427172352 is 253271724.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (427172359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107098 + ... + 111014.

Almost surely, 2427172352 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 427172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577168416).

427172352 is an abundant number, since it is smaller than the sum of its proper divisors (727164480).

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

427172352 is an equidigital number, since it uses as much as digits as its factorization.

427172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3993 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 427172352 is about 20668.1482479684. The cubic root of 427172352 is about 753.1261232561.

The spelling of 427172352 in words is "four hundred twenty-seven million, one hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 3917 4544 6816 7834 9088 11751 13632 15668 18176 23502 27264 31336 36352 47004 54528 62672 94008 109056 125344 188016 250688 278107 376032 501376 556214 752064 834321 1002752 1112428 1504128 1668642 2005504 2224856 3008256 3337284 4449712 6016512 6674568 8899424 13349136 17798848 26698272 35597696 53396544 71195392 106793088 142390784 213586176 427172352