Search a number
-
+
57526290276 = 22373131763241
BaseRepresentation
bin110101100100110101…
…011000011101100100
312111111002212022221120
4311210311120131210
51420303212242101
642232140013540
74104361254000
oct654465303544
9174432768846
1057526290276
1122440100364
12b1955312b0
13556a104320
142ada127700
15176a4bbb36
hexd64d58764

57526290276 has 192 divisors, whose sum is σ = 178494220800. Its totient is φ = 14279086080.

The previous prime is 57526290251. The next prime is 57526290277. The reversal of 57526290276 is 67209262575.

It is a happy number.

57526290276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×575262902762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (57526290277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878016 + ... + 941256.

It is an arithmetic number, because the mean of its divisors is an integer number (929657400).

Almost surely, 257526290276 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 57526290276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89247110400).

57526290276 is an abundant number, since it is smaller than the sum of its proper divisors (120967930524).

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

57526290276 is a wasteful number, since it uses less digits than its factorization.

57526290276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63299 (or 63283 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 57526290276 in words is "fifty-seven billion, five hundred twenty-six million, two hundred ninety thousand, two hundred seventy-six".