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57489233400 = 233252311516823
BaseRepresentation
bin110101100010101000…
…000001010111111000
312111101112010122110200
4311202220001113320
51420214220432100
642224333442200
74103431264314
oct654250012770
9174345118420
1057489233400
112242119aa45
12b185040360
13556252b291
142ad523cb44
1517670ebe00
hexd62a015f8

57489233400 has 288 divisors, whose sum is σ = 200645253120. Its totient is φ = 14735520000.

The previous prime is 57489233317. The next prime is 57489233407. The reversal of 57489233400 is 433298475.

57489233400 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 9 + 233 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57489233407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8422389 + ... + 8429211.

Almost surely, 257489233400 is an apocalyptic number.

57489233400 is a gapful number since it is divisible by the number (50) 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 57489233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100322626560).

57489233400 is an abundant number, since it is smaller than the sum of its proper divisors (143156019720).

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

57489233400 is a wasteful number, since it uses less digits than its factorization.

57489233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57489233400 in words is "fifty-seven billion, four hundred eighty-nine million, two hundred thirty-three thousand, four hundred".