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90682288 = 2419317941
BaseRepresentation
bin1010110011110…
…11001110110000
320022122010201021
411121323032300
5141203313123
612555345224
72150533564
oct531731660
9208563637
1090682288
1147207a44
1226452214
1315a30678
14c0876a4
157e63c5d
hex567b3b0

90682288 has 40 divisors (see below), whose sum is σ = 185724720. Its totient is φ = 42773760.

The previous prime is 90682271. The next prime is 90682309. The reversal of 90682288 is 88228609.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 95898 + ... + 96838.

It is an arithmetic number, because the mean of its divisors is an integer number (4643118).

Almost surely, 290682288 is an apocalyptic number.

90682288 is the 6023-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92862360).

90682288 is an abundant number, since it is smaller than the sum of its proper divisors (95042432).

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

90682288 is a wasteful number, since it uses less digits than its factorization.

90682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 90682288 is about 9522.7248201342. The cubic root of 90682288 is about 449.2700726206.

The spelling of 90682288 in words is "ninety million, six hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 317 634 941 1268 1882 2536 3764 5072 6023 7528 12046 15056 17879 24092 35758 48184 71516 96368 143032 286064 298297 596594 1193188 2386376 4772752 5667643 11335286 22670572 45341144 90682288