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57023456 = 257241887
BaseRepresentation
bin1101100110000…
…1101111100000
310222022002110212
43121201233200
5104044222311
65354113252
71261456100
oct331415740
9128262425
1057023456
112a208626
121711b828
13ba771b9
147805200
155015c8b
hex3661be0

57023456 has 72 divisors (see below), whose sum is σ = 133929936. Its totient is φ = 23815680.

The previous prime is 57023453. The next prime is 57023467. The reversal of 57023456 is 65432075.

57023456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57023453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63845 + ... + 64731.

It is an arithmetic number, because the mean of its divisors is an integer number (1860138).

Almost surely, 257023456 is an apocalyptic number.

57023456 is a gapful number since it is divisible by the number (56) 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 57023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66964968).

57023456 is an abundant number, since it is smaller than the sum of its proper divisors (76906480).

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

57023456 is a wasteful number, since it uses less digits than its factorization.

57023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 57023456 is about 7551.3876870414. The cubic root of 57023456 is about 384.9028956207.

The spelling of 57023456 in words is "fifty-seven million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 887 1148 1312 1568 1774 2009 2296 3548 4018 4592 6209 7096 8036 9184 12418 14192 16072 24836 28384 32144 36367 43463 49672 64288 72734 86926 99344 145468 173852 198688 254569 290936 347704 509138 581872 695408 1018276 1163744 1390816 1781983 2036552 3563966 4073104 7127932 8146208 14255864 28511728 57023456