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57501990 = 232572131759
BaseRepresentation
bin1101101101011…
…0100100100110
311000012101220100
43123112210212
5104210030430
65412244530
71265521200
oct333264446
9130171810
1057501990
112a505107
1217310746
13bbb3c60
1478cb770
1550ac960
hex36d6926

57501990 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 11225088.

The previous prime is 57501947. The next prime is 57502031. The reversal of 57501990 is 9910575.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 974581 + ... + 974639.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 257501990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57501990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

57501990 is an abundant number, since it is smaller than the sum of its proper divisors (144168570).

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

57501990 is a wasteful number, since it uses less digits than its factorization.

57501990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 57501990 is about 7583.0066596305. The cubic root of 57501990 is about 385.9765840807.

The spelling of 57501990 in words is "fifty-seven million, five hundred one thousand, nine hundred ninety".