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90870052 = 22713318053
BaseRepresentation
bin1010110101010…
…01000100100100
320022222200021111
411122221010210
5141230320202
613003354404
72152245160
oct532510444
9208880244
1090870052
1147326019
1226522a04
1315a97c80
14c0d5ca0
157e9e6d7
hex56a9124

90870052 has 48 divisors (see below), whose sum is σ = 202058752. Its totient is φ = 34784640.

The previous prime is 90870041. The next prime is 90870119. The reversal of 90870052 is 25007809.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 90869996 and 90870023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7258 + ... + 15310.

Almost surely, 290870052 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 90870052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101029376).

90870052 is an abundant number, since it is smaller than the sum of its proper divisors (111188700).

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

90870052 is a wasteful number, since it uses less digits than its factorization.

90870052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 90870052 is about 9532.5784549617. The cubic root of 90870052 is about 449.5799405213.

The spelling of 90870052 in words is "ninety million, eight hundred seventy thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 8053 11284 16106 32212 56371 104689 112742 209378 225484 249643 418756 499286 732823 998572 1465646 1747501 2931292 3245359 3495002 6490718 6990004 12981436 22717513 45435026 90870052