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90781768 = 23711178669
BaseRepresentation
bin1010110100100…
…11100001001000
320022211012011201
411122103201020
5141220004033
613001433544
72151426610
oct532234110
9208735151
1090781768
1147275760
122649b8b4
1315a66a2c
14c0b1a40
157e8347d
hex5693848

90781768 has 64 divisors (see below), whose sum is σ = 224726400. Its totient is φ = 33285120.

The previous prime is 90781763. The next prime is 90781771. The reversal of 90781768 is 86718709.

It is not an unprimeable number, because it can be changed into a prime (90781763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6138 + ... + 14806.

It is an arithmetic number, because the mean of its divisors is an integer number (3511350).

Almost surely, 290781768 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 90781768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112363200).

90781768 is an abundant number, since it is smaller than the sum of its proper divisors (133944632).

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

90781768 is a wasteful number, since it uses less digits than its factorization.

90781768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 90781768 is about 9527.9466833101. The cubic root of 90781768 is about 449.4342981992.

The spelling of 90781768 in words is "ninety million, seven hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 8669 10472 17338 34676 60683 69352 95359 121366 147373 190718 242732 294746 381436 485464 589492 667513 762872 1031611 1178984 1335026 1621103 2063222 2670052 3242206 4126444 5340104 6484412 8252888 11347721 12968824 22695442 45390884 90781768