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457974036 = 2232133131567
BaseRepresentation
bin11011010011000…
…010000100010100
31011220202111021100
4123103002010110
51414220132121
6113235550100
714230500162
oct3323020424
91156674240
10457974036
11215572743
1210945b330
1373b5c370
1444b76232
152a316026
hex1b4c2114

457974036 has 72 divisors (see below), whose sum is σ = 1286964224. Its totient is φ = 136365120.

The previous prime is 457974029. The next prime is 457974047. The reversal of 457974036 is 630479754.

457974036 is a `hidden beast` number, since 4 + 579 + 7 + 40 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457973982 and 457974000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276 + ... + 30291.

Almost surely, 2457974036 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 457974036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643482112).

457974036 is an abundant number, since it is smaller than the sum of its proper divisors (828990188).

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

457974036 is a wasteful number, since it uses less digits than its factorization.

457974036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31621 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 457974036 is about 21400.3279414125. The cubic root of 457974036 is about 770.8093115501.

The spelling of 457974036 in words is "four hundred fifty-seven million, nine hundred seventy-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 31567 63134 94701 126268 189402 284103 378804 410371 568206 820742 978577 1136412 1231113 1641484 1957154 2462226 2935731 3693339 3914308 4924452 5871462 7386678 8807193 11742924 12721501 14773356 17614386 25443002 35228772 38164503 50886004 76329006 114493509 152658012 228987018 457974036