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57230928 = 2433137967
BaseRepresentation
bin1101101001010…
…0011001010000
310222200122002000
43122110121100
5104122342203
65402354000
71263312006
oct332243120
9128618060
1057230928
112a33a497
12171bb900
13bb1a771
14785aa76
1550574a3
hex3694650

57230928 has 80 divisors (see below), whose sum is σ = 165644160. Its totient is φ = 18918144.

The previous prime is 57230917. The next prime is 57230939. The reversal of 57230928 is 82903275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57230917) and next prime (57230939).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57230892 and 57230901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58701 + ... + 59667.

It is an arithmetic number, because the mean of its divisors is an integer number (2070552).

Almost surely, 257230928 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 57230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82822080).

57230928 is an abundant number, since it is smaller than the sum of its proper divisors (108413232).

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

57230928 is a wasteful number, since it uses less digits than its factorization.

57230928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57230928 is about 7565.1125569948. The cubic root of 57230928 is about 385.3691360382.

The spelling of 57230928 in words is "fifty-seven million, two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 967 1096 1233 1644 1934 2192 2466 2901 3288 3699 3868 4932 5802 6576 7398 7736 8703 9864 11604 14796 15472 17406 19728 23208 26109 29592 34812 46416 52218 59184 69624 104436 132479 139248 208872 264958 397437 417744 529916 794874 1059832 1192311 1589748 2119664 2384622 3179496 3576933 4769244 6358992 7153866 9538488 14307732 19076976 28615464 57230928