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90051104 = 25112131789
BaseRepresentation
bin1010101111000…
…01001000100000
320021110001220002
411113201020200
5141023113404
612534035132
72142264443
oct527411040
9207401802
1090051104
1146916800
12261a8aa8
131586c2a0
14bd6165a
157d8bc1e
hex55e1220

90051104 has 72 divisors (see below), whose sum is σ = 209977740. Its totient is φ = 37762560.

The previous prime is 90051097. The next prime is 90051109. The reversal of 90051104 is 40115009.

It can be written as a sum of positive squares in 2 ways, for example, as 89491600 + 559504 = 9460^2 + 748^2 .

It is not an unprimeable number, because it can be changed into a prime (90051109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49442 + ... + 51230.

Almost surely, 290051104 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 90051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104988870).

90051104 is an abundant number, since it is smaller than the sum of its proper divisors (119926636).

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

90051104 is a wasteful number, since it uses less digits than its factorization.

90051104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 90051104 is about 9489.5260155605. The cubic root of 90051104 is about 448.2252799797.

The spelling of 90051104 in words is "ninety million, fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1789 1936 2288 3146 3578 3872 4576 6292 7156 12584 14312 19679 23257 25168 28624 39358 46514 50336 57248 78716 93028 157432 186056 216469 255827 314864 372112 432938 511654 629728 744224 865876 1023308 1731752 2046616 2814097 3463504 4093232 5628194 6927008 8186464 11256388 22512776 45025552 90051104