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90680576 = 28727229
BaseRepresentation
bin1010110011110…
…10110100000000
320022122001100212
411121322310000
5141203234301
612555333252
72150525600
oct531726400
9208561325
1090680576
1147206728
1226451228
1315a2c95c
14c086c00
157e634bb
hex567ad00

90680576 has 54 divisors (see below), whose sum is σ = 210588210. Its totient is φ = 38857728.

The previous prime is 90680563. The next prime is 90680591. The reversal of 90680576 is 67508609.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90630400 + 50176 = 9520^2 + 224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8930 + ... + 16158.

Almost surely, 290680576 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 90680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105294105).

90680576 is an abundant number, since it is smaller than the sum of its proper divisors (119907634).

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

90680576 is an equidigital number, since it uses as much as digits as its factorization.

90680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 90680576 is about 9522.6349294720. The cubic root of 90680576 is about 449.2672453313.

The spelling of 90680576 in words is "ninety million, six hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 7229 12544 14458 28916 50603 57832 101206 115664 202412 231328 354221 404824 462656 708442 809648 925312 1416884 1619296 1850624 2833768 3238592 5667536 6477184 11335072 12954368 22670144 45340288 90680576