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457753056 = 25311342197
BaseRepresentation
bin11011010010001…
…100000111100000
31011220100021010220
4123102030013200
51414141044211
6113231123040
714225560005
oct3322140740
91156307126
10457753056
11215431712
12109373480
1373ab28c7
1444b198ac
152a2c0806
hex1b48c1e0

457753056 has 48 divisors (see below), whose sum is σ = 1212264144. Its totient is φ = 151230464.

The previous prime is 457753039. The next prime is 457753057. The reversal of 457753056 is 650357754.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 457752999 and 457753017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457753057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10251 + ... + 31946.

It is an arithmetic number, because the mean of its divisors is an integer number (25255503).

Almost surely, 2457753056 is an apocalyptic number.

It is an amenable number.

457753056 is an abundant number, since it is smaller than the sum of its proper divisors (754511088).

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

457753056 is a wasteful number, since it uses less digits than its factorization.

457753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42323 (or 42315 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 457753056 is about 21395.1643134611. The cubic root of 457753056 is about 770.6853155504.

The spelling of 457753056 in words is "four hundred fifty-seven million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 42197 84394 126591 168788 253182 337576 506364 675152 1012728 1350304 2025456 4050912 4768261 9536522 14304783 19073044 28609566 38146088 57219132 76292176 114438264 152584352 228876528 457753056