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82895360 = 29532381
BaseRepresentation
bin1001111000011…
…10001000000000
312202222112001112
410330032020000
5132210122420
612120422452
72024412302
oct474161000
9182875045
1082895360
1142879569
1223917a28
1314235212
14b01b972
1574268c5
hex4f0e200

82895360 has 40 divisors (see below), whose sum is σ = 198760716. Its totient is φ = 33157120.

The previous prime is 82895341. The next prime is 82895363. The reversal of 82895360 is 6359828.

It can be written as a sum of positive squares in 2 ways, for example, as 82882816 + 12544 = 9104^2 + 112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82895363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13631 + ... + 18750.

Almost surely, 282895360 is an apocalyptic number.

82895360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82895360 is an abundant number, since it is smaller than the sum of its proper divisors (115865356).

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

82895360 is an equidigital number, since it uses as much as digits as its factorization.

82895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32404 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 82895360 is about 9104.6889018791. The cubic root of 82895360 is about 436.0236779779.

The spelling of 82895360 in words is "eighty-two million, eight hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 32381 64762 129524 161905 259048 323810 518096 647620 1036192 1295240 2072384 2590480 4144768 5180960 8289536 10361920 16579072 20723840 41447680 82895360