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75760968 = 23313124097
BaseRepresentation
bin1001000010000…
…00010101001000
312021120001111210
410201000111020
5123343322333
611303453120
71606646313
oct441002510
9167501453
1075760968
1139846378
12214571a0
1312907a9a
14a0c197a
1569b7a63
hex4840548

75760968 has 32 divisors (see below), whose sum is σ = 190856160. Its totient is φ = 25059840.

The previous prime is 75760967. The next prime is 75760981. The reversal of 75760968 is 86906757.

It is not an unprimeable number, because it can be changed into a prime (75760967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8905 + ... + 15192.

It is an arithmetic number, because the mean of its divisors is an integer number (5964255).

Almost surely, 275760968 is an apocalyptic number.

It is an amenable number.

75760968 is an abundant number, since it is smaller than the sum of its proper divisors (115095192).

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

75760968 is a wasteful number, since it uses less digits than its factorization.

75760968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24233 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 75760968 is about 8704.0776650947. The cubic root of 75760968 is about 423.1378142458.

The spelling of 75760968 in words is "seventy-five million, seven hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 24097 48194 72291 96388 144582 192776 289164 578328 3156707 6313414 9470121 12626828 18940242 25253656 37880484 75760968