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90043096 = 231113312539
BaseRepresentation
bin1010101110111…
…11001011011000
320021102122220111
411113133023120
5141022334341
612533534104
72142232213
oct527371330
9207378814
1090043096
1146910790
12261a4334
1315868750
14bd5c77a
157d89681
hex55df2d8

90043096 has 64 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 36547200.

The previous prime is 90043049. The next prime is 90043099. The reversal of 90043096 is 69034009.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90043099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34195 + ... + 36733.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 290043096 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 90043096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

90043096 is an abundant number, since it is smaller than the sum of its proper divisors (114782504).

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

90043096 is a wasteful number, since it uses less digits than its factorization.

90043096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 90043096 is about 9489.1040672974. The cubic root of 90043096 is about 448.2119931004.

It can be divided in two parts, 9004 and 3096, that added together give a square (12100 = 1102).

The spelling of 90043096 in words is "ninety million, forty-three thousand, ninety-six".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2539 2728 3224 4433 5078 8866 10156 17732 20312 27929 33007 35464 55858 66014 78709 111716 132028 157418 223432 264056 314836 363077 629672 726154 865799 1023217 1452308 1731598 2046434 2904616 3463196 4092868 6926392 8185736 11255387 22510774 45021548 90043096