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857240928 = 25332934213
BaseRepresentation
bin110011000110000…
…111010101100000
32012202001100111000
4303012013111200
53223423202203
6221021352000
730146266455
oct6306072540
92182040430
10857240928
113aa987885
121bb108600
131087a506b
1481bc982c
15503d24a3
hex33187560

857240928 has 96 divisors (see below), whose sum is σ = 2586578400. Its totient is φ = 275885568.

The previous prime is 857240911. The next prime is 857240933. The reversal of 857240928 is 829042758.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7950 + ... + 42162.

It is an arithmetic number, because the mean of its divisors is an integer number (26943525).

Almost surely, 2857240928 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 857240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293289200).

857240928 is an abundant number, since it is smaller than the sum of its proper divisors (1729337472).

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

857240928 is a wasteful number, since it uses less digits than its factorization.

857240928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34261 (or 34247 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 857240928 is about 29278.6770192917. The cubic root of 857240928 is about 949.9504786744.

The spelling of 857240928 in words is "eight hundred fifty-seven million, two hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 34213 68426 102639 136852 205278 273704 307917 410556 547408 615834 821112 923751 992177 1094816 1231668 1642224 1847502 1984354 2463336 2976531 3284448 3695004 3968708 4926672 5953062 7390008 7937416 8929593 9853344 11906124 14780016 15874832 17859186 23812248 26788779 29560032 31749664 35718372 47624496 53577558 71436744 95248992 107155116 142873488 214310232 285746976 428620464 857240928