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82878240 = 2535172663
BaseRepresentation
bin1001111000010…
…01111100100000
312202221122120110
410330021330200
5132204100430
612120211320
72024311344
oct474117440
9182848513
1082878240
1142867715
1223909b40
131422a4a3
14b015624
1574217b0
hex4f09f20

82878240 has 48 divisors (see below), whose sum is σ = 261067968. Its totient is φ = 22100736.

The previous prime is 82878233. The next prime is 82878293. The reversal of 82878240 is 4287828.

It is a tau number, because it is divible by the number of its divisors (48).

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, 85852 + ... + 86811.

It is an arithmetic number, because the mean of its divisors is an integer number (5438916).

Almost surely, 282878240 is an apocalyptic number.

82878240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82878240 is an abundant number, since it is smaller than the sum of its proper divisors (178189728).

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

82878240 is a wasteful number, since it uses less digits than its factorization.

82878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172681 (or 172673 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 82878240 is about 9103.7486784291. The cubic root of 82878240 is about 435.9936592518.

The spelling of 82878240 in words is "eighty-two million, eight hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 172663 345326 517989 690652 863315 1035978 1381304 1726630 2071956 2589945 2762608 3453260 4143912 5179890 5525216 6906520 8287824 10359780 13813040 16575648 20719560 27626080 41439120 82878240