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82975920 = 2435345733
BaseRepresentation
bin1001111001000…
…01110010110000
312210010121120020
410330201302300
5132220212140
612122243440
72025166206
oct474416260
9183117506
1082975920
1142924045
1223956580
1314262aa1
14b03d076
1574406d0
hex4f21cb0

82975920 has 40 divisors (see below), whose sum is σ = 257226096. Its totient is φ = 22126848.

The previous prime is 82975909. The next prime is 82975951. The reversal of 82975920 is 2957928.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172627 + ... + 173106.

Almost surely, 282975920 is an apocalyptic number.

82975920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82975920 is an abundant number, since it is smaller than the sum of its proper divisors (174250176).

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

82975920 is a wasteful number, since it uses less digits than its factorization.

82975920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345749 (or 345743 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 82975920 is about 9109.1119215871. Note that the first 3 decimals coincide. The cubic root of 82975920 is about 436.1648788638.

The spelling of 82975920 in words is "eighty-two million, nine hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 345733 691466 1037199 1382932 1728665 2074398 2765864 3457330 4148796 5185995 5531728 6914660 8297592 10371990 13829320 16595184 20743980 27658640 41487960 82975920