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57095472 = 2437251677
BaseRepresentation
bin1101100111001…
…1010100110000
310222102202021010
43121303110300
5104104023342
65355430520
71262206050
oct331632460
9128382233
1057095472
112a257745
1217155440
13baa0c05
147823560
15502c29c
hex3673530

57095472 has 80 divisors (see below), whose sum is σ = 169489152. Its totient is φ = 16224000.

The previous prime is 57095471. The next prime is 57095473. The reversal of 57095472 is 27459075.

57095472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57095471) and next prime (57095473).

It is a self number, because there is not a number n which added to its sum of digits gives 57095472.

It is not an unprimeable number, because it can be changed into a prime (57095471) 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 15 ways as a sum of consecutive naturals, for example, 83998 + ... + 84674.

Almost surely, 257095472 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 57095472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84744576).

57095472 is an abundant number, since it is smaller than the sum of its proper divisors (112393680).

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

57095472 is a wasteful number, since it uses less digits than its factorization.

57095472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 57095472 is about 7556.1545775613. The cubic root of 57095472 is about 385.0648611698.

The spelling of 57095472 in words is "fifty-seven million, ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 251 336 502 677 753 1004 1354 1506 1757 2008 2031 2708 3012 3514 4016 4062 4739 5271 5416 6024 7028 8124 9478 10542 10832 12048 14056 14217 16248 18956 21084 28112 28434 32496 37912 42168 56868 75824 84336 113736 169927 227472 339854 509781 679708 1019562 1189489 1359416 2039124 2378978 2718832 3568467 4078248 4757956 7136934 8156496 9515912 14273868 19031824 28547736 57095472