Search a number
-
+
57256192 = 28789359
BaseRepresentation
bin1101101001101…
…0100100000000
310222201220201201
43122122210000
5104124144232
65403110544
71263445450
oct332324400
9128656651
1057256192
112a357474
1217212454
13bb29106
147865d60
15505ebe7
hex369a900

57256192 has 72 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 24195072.

The previous prime is 57256181. The next prime is 57256207. The reversal of 57256192 is 29165275.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159309 + ... + 159667.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 257256192 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 57256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

57256192 is an abundant number, since it is smaller than the sum of its proper divisors (75195008).

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

57256192 is an equidigital number, since it uses as much as digits as its factorization.

57256192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 57256192 is about 7566.7821430249. The cubic root of 57256192 is about 385.4258334331.

The spelling of 57256192 in words is "fifty-seven million, two hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 359 448 623 712 718 896 1246 1424 1436 1792 2492 2513 2848 2872 4984 5026 5696 5744 9968 10052 11392 11488 19936 20104 22784 22976 31951 39872 40208 45952 63902 79744 80416 91904 127804 159488 160832 223657 255608 321664 447314 511216 643328 894628 1022432 1789256 2044864 3578512 4089728 7157024 8179456 14314048 28628096 57256192