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75112164 = 22334116963
BaseRepresentation
bin1000111101000…
…01111011100100
312020100002112000
410132201323210
5123212042124
611241525300
71601304621
oct436417344
9166302460
1075112164
1139442976
12211a3830
131273b68a
149d93348
1568da6c9
hex47a1ee4

75112164 has 48 divisors (see below), whose sum is σ = 199496640. Its totient is φ = 24425280.

The previous prime is 75112153. The next prime is 75112189. The reversal of 75112164 is 46121157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 12909.

It is an arithmetic number, because the mean of its divisors is an integer number (4156180).

Almost surely, 275112164 is an apocalyptic number.

It is an amenable number.

75112164 is an abundant number, since it is smaller than the sum of its proper divisors (124384476).

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

75112164 is a wasteful number, since it uses less digits than its factorization.

75112164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017 (or 17009 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 75112164 is about 8666.7274100435. The cubic root of 75112164 is about 421.9264563409.

The spelling of 75112164 in words is "seventy-five million, one hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 16963 33926 50889 67852 101778 152667 203556 305334 458001 610668 695483 916002 1390966 1832004 2086449 2781932 4172898 6259347 8345796 12518694 18778041 25037388 37556082 75112164