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492097536 = 2123271907
BaseRepresentation
bin11101010101001…
…101000000000000
31021021222010220200
4131111031000000
52001434110121
6120455205200
715123521460
oct3525150000
91237863820
10492097536
1123285a187
12118976800
137ac49198
14494d9ba0
152d306a26
hex1d54d000

492097536 has 156 divisors (see below), whose sum is σ = 1625356512. Its totient is φ = 140525568.

The previous prime is 492097531. The next prime is 492097537. The reversal of 492097536 is 635790294.

It is a happy number.

492097536 is a `hidden beast` number, since 4 + 9 + 20 + 97 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 492097491 and 492097500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492097531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257095 + ... + 259001.

It is an arithmetic number, because the mean of its divisors is an integer number (10418952).

Almost surely, 2492097536 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 492097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812678256).

492097536 is an abundant number, since it is smaller than the sum of its proper divisors (1133258976).

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

492097536 is a wasteful number, since it uses less digits than its factorization.

492097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 492097536 is about 22183.2715351005. The cubic root of 492097536 is about 789.4968413811.

The spelling of 492097536 in words is "four hundred ninety-two million, ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 1907 2016 2048 2304 2688 3072 3584 3814 4032 4096 4608 5376 5721 6144 7168 7628 8064 9216 10752 11442 12288 13349 14336 15256 16128 17163 18432 21504 22884 26698 28672 30512 32256 34326 36864 40047 43008 45768 53396 61024 64512 68652 80094 86016 91536 106792 120141 122048 129024 137304 160188 183072 213584 240282 244096 258048 274608 320376 366144 427168 480564 488192 549216 640752 732288 854336 961128 976384 1098432 1281504 1464576 1708672 1922256 1952768 2196864 2563008 2929152 3417344 3844512 3905536 4393728 5126016 5858304 6834688 7689024 7811072 8787456 10252032 11716608 13669376 15378048 17574912 20504064 23433216 27338752 30756096 35149824 41008128 54677504 61512192 70299648 82016256 123024384 164032512 246048768 492097536