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75245568 = 211337331
BaseRepresentation
bin1000111110000…
…10100000000000
312020120212111220
410133002200000
5123230324233
611244435040
71602401556
oct437024000
9166525456
1075245568
1139524122
1221248a80
1312787308
149dc9bd6
156914eb3
hex47c2800

75245568 has 96 divisors (see below), whose sum is σ = 206650080. Its totient is φ = 24330240.

The previous prime is 75245563. The next prime is 75245593. The reversal of 75245568 is 86554257.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75245563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227163 + ... + 227493.

It is an arithmetic number, because the mean of its divisors is an integer number (2152605).

Almost surely, 275245568 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 75245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103325040).

75245568 is an abundant number, since it is smaller than the sum of its proper divisors (131404512).

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

75245568 is a wasteful number, since it uses less digits than its factorization.

75245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 75245568 is about 8674.4203264541. The cubic root of 75245568 is about 422.1760980496.

The spelling of 75245568 in words is "seventy-five million, two hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 331 384 444 512 592 662 768 888 993 1024 1184 1324 1536 1776 1986 2048 2368 2648 3072 3552 3972 4736 5296 6144 7104 7944 9472 10592 12247 14208 15888 18944 21184 24494 28416 31776 36741 37888 42368 48988 56832 63552 73482 75776 84736 97976 113664 127104 146964 169472 195952 227328 254208 293928 338944 391904 508416 587856 677888 783808 1016832 1175712 1567616 2033664 2351424 3135232 4702848 6270464 9405696 12540928 18811392 25081856 37622784 75245568