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57172668 = 22371076361
BaseRepresentation
bin1101101000011…
…0001010111100
310222120200011020
43122012022330
5104114011133
65401224140
71262650110
oct332061274
9128520136
1057172668
112a2aa743
1217192050
13baca0a7
147843740
1550450b3
hex36862bc

57172668 has 48 divisors (see below), whose sum is σ = 153909504. Its totient is φ = 16179840.

The previous prime is 57172667. The next prime is 57172669. The reversal of 57172668 is 86627175.

57172668 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 (57172667) and next prime (57172669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57172663) 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, 5808 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (3206448).

Almost surely, 257172668 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 57172668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76954752).

57172668 is an abundant number, since it is smaller than the sum of its proper divisors (96736836).

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

57172668 is a wasteful number, since it uses less digits than its factorization.

57172668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6480 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 57172668 is about 7561.2610059434. The cubic root of 57172668 is about 385.2383254817.

It can be divided in two parts, 5717 and 2668, that added together give a triangular number (8385 = T129).

The spelling of 57172668 in words is "fifty-seven million, one hundred seventy-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 6361 8988 12722 19083 25444 38166 44527 76332 89054 133581 178108 267162 534324 680627 1361254 2041881 2722508 4083762 4764389 8167524 9528778 14293167 19057556 28586334 57172668