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83881280 = 265737447
BaseRepresentation
bin1001111111111…
…10110101000000
312211211121111002
410333332311000
5132433200110
612153511132
72035656560
oct477766500
9184747432
1083881280
114339227a
12241124a8
13144bbbc2
14b1d6da0
15756daa5
hex4ffed40

83881280 has 56 divisors (see below), whose sum is σ = 228283008. Its totient is φ = 28758528.

The previous prime is 83881271. The next prime is 83881289. The reversal of 83881280 is 8218838.

It is an interprime number because it is at equal distance from previous prime (83881271) and next prime (83881289).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83881289) 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, 16484 + ... + 20963.

Almost surely, 283881280 is an apocalyptic number.

83881280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83881280 is an abundant number, since it is smaller than the sum of its proper divisors (144401728).

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

83881280 is a wasteful number, since it uses less digits than its factorization.

83881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37471 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 83881280 is about 9158.6723928744. The cubic root of 83881280 is about 437.7454926980.

The spelling of 83881280 in words is "eighty-three million, eight hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 37447 74894 149788 187235 262129 299576 374470 524258 599152 748940 1048516 1198304 1310645 1497880 2097032 2396608 2621290 2995760 4194064 5242580 5991520 8388128 10485160 11983040 16776256 20970320 41940640 83881280