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457720038 = 23322433779
BaseRepresentation
bin11011010010000…
…100000011100110
31011220021120212000
4123102010003212
51414134020123
6113230310130
714225361516
oct3322040346
91156246760
10457720038
11215409926
12109358346
1373aa0879
1444b0b846
152a2b5b43
hex1b4840e6

457720038 has 32 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 152464968.

The previous prime is 457720037. The next prime is 457720049. The reversal of 457720038 is 830027754.

It is a junction number, because it is equal to n+sod(n) for n = 457719984 and 457720011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457720037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119233 + ... + 123011.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2457720038 is an apocalyptic number.

457720038 is an abundant number, since it is smaller than the sum of its proper divisors (560158362).

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

457720038 is a wasteful number, since it uses less digits than its factorization.

457720038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 457720038 is about 21394.3926765870. The cubic root of 457720038 is about 770.6667851083. Note that the first 3 decimals are identical.

The spelling of 457720038 in words is "four hundred fifty-seven million, seven hundred twenty thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 2243 3779 4486 6729 7558 11337 13458 20187 22674 34011 40374 60561 68022 102033 121122 204066 8476297 16952594 25428891 50857782 76286673 152573346 228860019 457720038