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57875272 = 23721341277
BaseRepresentation
bin1101110011000…
…1101101001000
311000220100221121
43130301231020
5104304002042
65424245024
71301634400
oct334615510
9130810847
1057875272
112a73a604
1217470774
13bcb4b30
147987800
155133367
hex3731b48

57875272 has 96 divisors (see below), whose sum is σ = 139761720. Its totient is φ = 22256640.

The previous prime is 57875243. The next prime is 57875281. The reversal of 57875272 is 27257875.

57875272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14394436 + 43480836 = 3794^2 + 6594^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 208798 + ... + 209074.

Almost surely, 257875272 is an apocalyptic number.

57875272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57875272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69880860).

57875272 is an abundant number, since it is smaller than the sum of its proper divisors (81886448).

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

57875272 is a wasteful number, since it uses less digits than its factorization.

57875272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its digits is 274400, while the sum is 43.

The square root of 57875272 is about 7607.5799042797. The cubic root of 57875272 is about 386.8099898071.

It can be divided in two parts, 578 and 75272, that multiplied together give a square (43507216 = 65962).

The spelling of 57875272 in words is "fifty-seven million, eight hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 182 196 277 287 328 364 392 533 554 574 637 728 1066 1108 1148 1274 1939 2009 2132 2216 2296 2548 3601 3731 3878 4018 4264 5096 7202 7462 7756 8036 11357 13573 14404 14924 15512 16072 22714 25207 26117 27146 28808 29848 45428 50414 52234 54292 79499 90856 100828 104468 108584 147641 158998 176449 201656 208936 295282 317996 352898 556493 590564 635992 705796 1033487 1112986 1181128 1411592 2066974 2225972 4133948 4451944 7234409 8267896 14468818 28937636 57875272