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90890046 = 23313433011
BaseRepresentation
bin1010110101011…
…01111100111110
320100000200201000
411122231330332
5141231440141
613004031130
72152360362
oct532557476
9210020630
1090890046
114733a045
12265324a6
1315aa40c0
14c0dd2a2
157ea55b6
hex56adf3e

90890046 has 64 divisors (see below), whose sum is σ = 222647040. Its totient is φ = 27306720.

The previous prime is 90890021. The next prime is 90890083. The reversal of 90890046 is 64009809.

It is a super-2 number, since 2×908900462 = 16522000923764232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28681 + ... + 31691.

It is an arithmetic number, because the mean of its divisors is an integer number (3478860).

Almost surely, 290890046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90890046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111323520).

90890046 is an abundant number, since it is smaller than the sum of its proper divisors (131756994).

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

90890046 is a wasteful number, since it uses less digits than its factorization.

90890046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90890046 is about 9533.6271166854. The cubic root of 90890046 is about 449.6129115678.

The spelling of 90890046 in words is "ninety million, eight hundred ninety thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 559 702 774 1118 1161 1677 2322 3011 3354 5031 6022 9033 10062 15093 18066 27099 30186 39143 54198 78286 81297 117429 129473 162594 234858 258946 352287 388419 704574 776838 1056861 1165257 1683149 2113722 2330514 3366298 3495771 5049447 6991542 10098894 15148341 30296682 45445023 90890046