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90241024 = 211139317
BaseRepresentation
bin1010110000011…
…11100000000000
320021210201102011
411120033200000
5141100203044
612542102304
72144015236
oct530174000
9207721364
1090241024
1146a36465
122627a994
1315907873
14bdb0956
157dc8134
hex560f800

90241024 has 48 divisors (see below), whose sum is σ = 182309400. Its totient is φ = 44654592.

The previous prime is 90241007. The next prime is 90241061. The reversal of 90241024 is 42014209.

It is a junction number, because it is equal to n+sod(n) for n = 90240986 and 90241004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284514 + ... + 284830.

Almost surely, 290241024 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 90241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91154700).

90241024 is an abundant number, since it is smaller than the sum of its proper divisors (92068376).

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

90241024 is a wasteful number, since it uses less digits than its factorization.

90241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 90241024 is about 9499.5275672004. The cubic root of 90241024 is about 448.5401647746.

The spelling of 90241024 in words is "ninety million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 317 512 556 634 1024 1112 1268 2048 2224 2536 4448 5072 8896 10144 17792 20288 35584 40576 44063 71168 81152 88126 142336 162304 176252 284672 324608 352504 649216 705008 1410016 2820032 5640064 11280128 22560256 45120512 90241024