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57106248 = 23319612053
BaseRepresentation
bin1101100111010…
…1111101001000
310222110022001020
43121311331020
5104104344443
65355552440
71262252343
oct331657510
9128408036
1057106248
112a264851
121715b720
13baa5aa4
14782745a
155030583
hex3675f48

57106248 has 64 divisors (see below), whose sum is σ = 152817600. Its totient is φ = 17729280.

The previous prime is 57106243. The next prime is 57106261. The reversal of 57106248 is 84260175.

It is a super-2 number, since 2×571062482 = 6522247121275008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57106243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26790 + ... + 28842.

It is an arithmetic number, because the mean of its divisors is an integer number (2387775).

Almost surely, 257106248 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 57106248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76408800).

57106248 is an abundant number, since it is smaller than the sum of its proper divisors (95711352).

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

57106248 is a wasteful number, since it uses less digits than its factorization.

57106248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57106248 is about 7556.8676050332. The cubic root of 57106248 is about 385.0890849116.

The spelling of 57106248 in words is "fifty-seven million, one hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1159 1464 2053 2318 3477 4106 4636 6159 6954 8212 9272 12318 13908 16424 24636 27816 39007 49272 78014 117021 125233 156028 234042 250466 312056 375699 468084 500932 751398 936168 1001864 1502796 2379427 3005592 4758854 7138281 9517708 14276562 19035416 28553124 57106248