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10457052 = 22329151199
BaseRepresentation
bin100111111000…
…111111011100
3201200021101020
4213320333130
510134111202
61012044140
7154612014
oct47707734
921607336
1010457052
1159a25a1
123603650
132221908
141562c44
15db85bc
hex9f8fdc

10457052 has 48 divisors (see below), whose sum is σ = 25536000. Its totient is φ = 3326400.

The previous prime is 10457033. The next prime is 10457063. The reversal of 10457052 is 25075401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52449 + ... + 52647.

It is an arithmetic number, because the mean of its divisors is an integer number (532000).

Almost surely, 210457052 is an apocalyptic number.

10457052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768000).

10457052 is an abundant number, since it is smaller than the sum of its proper divisors (15078948).

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

10457052 is a wasteful number, since it uses less digits than its factorization.

10457052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10457052 is about 3233.7365384335. The cubic root of 10457052 is about 218.6769909280.

The spelling of 10457052 in words is "ten million, four hundred fifty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 199 302 348 398 453 597 604 796 906 1194 1812 2388 4379 5771 8758 11542 13137 17313 17516 23084 26274 30049 34626 52548 60098 69252 90147 120196 180294 360588 871421 1742842 2614263 3485684 5228526 10457052