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52857672 = 233736421
BaseRepresentation
bin1100100110100…
…0101101001000
310200110110002120
43021220231020
5102012421142
65124531240
71211166000
oct311505510
9120413076
1052857672
112792282a
1215850b20
13ac4903a
14703d000
1549917ec
hex3268b48

52857672 has 64 divisors (see below), whose sum is σ = 154128000. Its totient is φ = 15099840.

The previous prime is 52857653. The next prime is 52857683. The reversal of 52857672 is 27675825.

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

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, 5022 + ... + 11442.

It is an arithmetic number, because the mean of its divisors is an integer number (2408250).

Almost surely, 252857672 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 52857672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77064000).

52857672 is an abundant number, since it is smaller than the sum of its proper divisors (101270328).

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

52857672 is a wasteful number, since it uses less digits than its factorization.

52857672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6433 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 52857672 is about 7270.3281906665. The cubic root of 52857672 is about 375.2920320759.

The spelling of 52857672 in words is "fifty-two million, eight hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 6421 8232 12842 19263 25684 38526 44947 51368 77052 89894 134841 154104 179788 269682 314629 359576 539364 629258 943887 1078728 1258516 1887774 2202403 2517032 3775548 4404806 6607209 7551096 8809612 13214418 17619224 26428836 52857672