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492471432 = 233243732179
BaseRepresentation
bin11101010110101…
…000010010001000
31021022200010210200
4131112220102020
52002033041212
6120511212200
715126636525
oct3526502210
91238603720
10492471432
11232a95092
12118b17060
137b04a41b
144959614c
152d37c6dc
hex1d5a8488

492471432 has 96 divisors (see below), whose sum is σ = 1384125600. Its totient is φ = 158070528.

The previous prime is 492471403. The next prime is 492471451. The reversal of 492471432 is 234174294.

It is a super-2 number, since 2×4924714322 = 485056222672261248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224919 + ... + 227097.

It is an arithmetic number, because the mean of its divisors is an integer number (14417975).

Almost surely, 2492471432 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 492471432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692062800).

492471432 is an abundant number, since it is smaller than the sum of its proper divisors (891654168).

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

492471432 is a wasteful number, since it uses less digits than its factorization.

492471432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2300 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 492471432 is about 22191.6973663575. The cubic root of 492471432 is about 789.6967441505.

The spelling of 492471432 in words is "four hundred ninety-two million, four hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 73 86 129 146 172 219 258 292 344 387 438 516 584 657 774 876 1032 1314 1548 1752 2179 2628 3096 3139 4358 5256 6278 6537 8716 9417 12556 13074 17432 18834 19611 25112 26148 28251 37668 39222 52296 56502 75336 78444 93697 113004 156888 159067 187394 226008 281091 318134 374788 477201 562182 636268 749576 843273 954402 1124364 1272536 1431603 1686546 1908804 2248728 2863206 3373092 3817608 5726412 6746184 6839881 11452824 13679762 20519643 27359524 41039286 54719048 61558929 82078572 123117858 164157144 246235716 492471432