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83076288 = 2631273407
BaseRepresentation
bin1001111001110…
…10010011000000
312210022201020120
410330322103000
5132231420123
612124340240
72026064631
oct474722300
9183281216
1083076288
1142992499
12239a4680
1314299689
14b067888
1574602e3
hex4f3a4c0

83076288 has 56 divisors (see below), whose sum is σ = 221601792. Its totient is φ = 27465984.

The previous prime is 83076283. The next prime is 83076293. The reversal of 83076288 is 88267038.

It is an interprime number because it is at equal distance from previous prime (83076283) and next prime (83076293).

It is not an unprimeable number, because it can be changed into a prime (83076283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22681 + ... + 26087.

Almost surely, 283076288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110800896).

83076288 is an abundant number, since it is smaller than the sum of its proper divisors (138525504).

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

83076288 is a wasteful number, since it uses less digits than its factorization.

83076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 83076288 is about 9114.6194654522. The cubic root of 83076288 is about 436.3406702559.

The spelling of 83076288 in words is "eighty-three million, seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 3407 4064 6096 6814 8128 10221 12192 13628 20442 24384 27256 40884 54512 81768 109024 163536 218048 327072 432689 654144 865378 1298067 1730756 2596134 3461512 5192268 6923024 10384536 13846048 20769072 27692096 41538144 83076288