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90731648 = 277131773
BaseRepresentation
bin1010110100001…
…11010010000000
320022201122102102
411122013102000
5141211403043
613000405532
72151130520
oct532072200
9208648372
1090731648
1147241037
12264768a8
1315a49c87
14c09b680
157e736b8
hex5687480

90731648 has 64 divisors (see below), whose sum is σ = 208422720. Its totient is φ = 38538240.

The previous prime is 90731623. The next prime is 90731657. The reversal of 90731648 is 84613709.

It is a tau number, because it is divible by the number of its divisors (64).

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, 116990 + ... + 117762.

It is an arithmetic number, because the mean of its divisors is an integer number (3256605).

Almost surely, 290731648 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 90731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104211360).

90731648 is an abundant number, since it is smaller than the sum of its proper divisors (117691072).

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

90731648 is a wasteful number, since it uses less digits than its factorization.

90731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 90731648 is about 9525.3161627318. The cubic root of 90731648 is about 449.3515730948.

The spelling of 90731648 in words is "ninety million, seven hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 773 896 917 1048 1546 1834 2096 3092 3668 4192 5411 6184 7336 8384 10822 12368 14672 16768 21644 24736 29344 43288 49472 58688 86576 98944 101263 117376 173152 202526 346304 405052 692608 708841 810104 1417682 1620208 2835364 3240416 5670728 6480832 11341456 12961664 22682912 45365824 90731648