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90992500 = 2254172141
BaseRepresentation
bin1010110110001…
…10111101110100
320100012220020121
411123012331310
5141243230000
613010141324
72153265154
oct533067564
9210186217
1090992500
11473aa015
1226581844
1315b0b921
14c128764
157ec5b1a
hex56c6f74

90992500 has 60 divisors (see below), whose sum is σ = 210785652. Its totient is φ = 34240000.

The previous prime is 90992497. The next prime is 90992519. The reversal of 90992500 is 529909.

It can be written as a sum of positive squares in 10 ways, for example, as 32194276 + 58798224 = 5674^2 + 7668^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41430 + ... + 43570.

Almost surely, 290992500 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 90992500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105392826).

90992500 is an abundant number, since it is smaller than the sum of its proper divisors (119793152).

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

90992500 is a wasteful number, since it uses less digits than its factorization.

90992500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 90992500 is about 9538.9988992556. The cubic root of 90992500 is about 449.7817872061.

The spelling of 90992500 in words is "ninety million, nine hundred ninety-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2141 2500 4250 4282 8500 8564 10625 10705 21250 21410 36397 42500 42820 53525 72794 107050 145588 181985 214100 267625 363970 535250 727940 909925 1070500 1338125 1819850 2676250 3639700 4549625 5352500 9099250 18198500 22748125 45496250 90992500