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75113864 = 2372892153
BaseRepresentation
bin1000111101000…
…10010110001000
312020100011211222
410132202112020
5123212120424
611241541212
71601312600
oct436422610
9166304758
1075113864
1139444181
12211a4808
131273c397
149d93c00
1568dae5e
hex47a2588

75113864 has 48 divisors (see below), whose sum is σ = 165750300. Its totient is φ = 31815168.

The previous prime is 75113851. The next prime is 75113869. The reversal of 75113864 is 46831157.

It can be written as a sum of positive squares in 2 ways, for example, as 62568100 + 12545764 = 7910^2 + 3542^2 .

It is not an unprimeable number, because it can be changed into a prime (75113869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33812 + ... + 35964.

Almost surely, 275113864 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 75113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82875150).

75113864 is an abundant number, since it is smaller than the sum of its proper divisors (90636436).

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

75113864 is a wasteful number, since it uses less digits than its factorization.

75113864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2251 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 75113864 is about 8666.8254857243. The cubic root of 75113864 is about 421.9296394452.

The spelling of 75113864 in words is "seventy-five million, one hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1246 2153 2492 4306 4361 4984 8612 8722 15071 17224 17444 30142 34888 60284 105497 120568 191617 210994 383234 421988 766468 843976 1341319 1532936 2682638 5365276 9389233 10730552 18778466 37556932 75113864