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90063576 = 233615443
BaseRepresentation
bin1010101111001…
…00001011011000
320021110201000000
411113210023120
5141024013301
612534213000
72142346011
oct527441330
9207421000
1090063576
1146925109
12261b4160
1315874b75
14bd66008
157d90786
hex55e42d8

90063576 has 56 divisors (see below), whose sum is σ = 253204380. Its totient is φ = 30019248.

The previous prime is 90063557. The next prime is 90063577. The reversal of 90063576 is 67536009.

It is a happy number.

It is a super-2 number, since 2×900635762 = 16222895443815552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90063576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90063577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1890 + ... + 13553.

Almost surely, 290063576 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 90063576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126602190).

90063576 is an abundant number, since it is smaller than the sum of its proper divisors (163140804).

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

90063576 is a wasteful number, since it uses less digits than its factorization.

90063576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15467 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 90063576 is about 9490.1831383804. The cubic root of 90063576 is about 448.2459719623.

The spelling of 90063576 in words is "ninety million, sixty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 15443 30886 46329 61772 92658 123544 138987 185316 277974 370632 416961 555948 833922 1111896 1250883 1667844 2501766 3335688 3752649 5003532 7505298 10007064 11257947 15010596 22515894 30021192 45031788 90063576