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75981132 = 22333531993
BaseRepresentation
bin1001000011101…
…10000101001100
312021222020112000
410201312011030
5123422344012
611312312300
71611554223
oct441660514
9167866460
1075981132
1139986827
1221542690
1312984066
14a13bcba
156a0cddc
hex487614c

75981132 has 48 divisors (see below), whose sum is σ = 197645280. Its totient is φ = 25242624.

The previous prime is 75981119. The next prime is 75981151. The reversal of 75981132 is 23118957.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37128 + ... + 39120.

It is an arithmetic number, because the mean of its divisors is an integer number (4117610).

Almost surely, 275981132 is an apocalyptic number.

It is an amenable number.

75981132 is an abundant number, since it is smaller than the sum of its proper divisors (121664148).

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

75981132 is a wasteful number, since it uses less digits than its factorization.

75981132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 75981132 is about 8716.7156658916. The cubic root of 75981132 is about 423.5473022263.

The spelling of 75981132 in words is "seventy-five million, nine hundred eighty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 1993 2118 3177 3986 4236 5979 6354 7972 9531 11958 12708 17937 19062 23916 35874 38124 53811 71748 107622 215244 703529 1407058 2110587 2814116 4221174 6331761 8442348 12663522 18995283 25327044 37990566 75981132