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83881408 = 2613412459
BaseRepresentation
bin1001111111111…
…10110111000000
312211211121122211
410333332313000
5132433201113
612153511504
72035660132
oct477766700
9184747584
1083881408
1143392386
1224112594
13144bbc90
14b1d7052
15756db3d
hex4ffedc0

83881408 has 56 divisors (see below), whose sum is σ = 183702960. Its totient is φ = 37754880.

The previous prime is 83881403. The next prime is 83881423. The reversal of 83881408 is 80418838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83881403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32883 + ... + 35341.

It is an arithmetic number, because the mean of its divisors is an integer number (3280410).

Almost surely, 283881408 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 83881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91851480).

83881408 is an abundant number, since it is smaller than the sum of its proper divisors (99821552).

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

83881408 is a wasteful number, since it uses less digits than its factorization.

83881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 83881408 is about 9158.6793807841. The cubic root of 83881408 is about 437.7457153595.

The spelling of 83881408 in words is "eighty-three million, eight hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1312 2132 2459 2624 4264 4918 8528 9836 17056 19672 31967 34112 39344 63934 78688 100819 127868 157376 201638 255736 403276 511472 806552 1022944 1310647 1613104 2045888 2621294 3226208 5242588 6452416 10485176 20970352 41940704 83881408