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90076608 = 2632179199
BaseRepresentation
bin1010101111001…
…11010111000000
320021111100212200
411113213113000
5141024422413
612534353200
72142432006
oct527472700
9207440780
1090076608
1146933986
12261bb800
131587aa8b
14bd6aa76
157d94573
hex55e75c0

90076608 has 84 divisors (see below), whose sum is σ = 273405600. Its totient is φ = 28256256.

The previous prime is 90076603. The next prime is 90076643. The reversal of 90076608 is 80667009.

It is a super-2 number, since 2×900766082 = 16227590617571328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90076603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5193 + ... + 14391.

Almost surely, 290076608 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 90076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136702800).

90076608 is an abundant number, since it is smaller than the sum of its proper divisors (183328992).

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

90076608 is a wasteful number, since it uses less digits than its factorization.

90076608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90076608 is about 9490.8697177867. The cubic root of 90076608 is about 448.2675909861.

The spelling of 90076608 in words is "ninety million, seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9199 9792 18398 27597 36796 55194 73592 82791 110388 147184 156383 165582 220776 294368 312766 331164 441552 469149 588736 625532 662328 883104 938298 1251064 1324656 1407447 1766208 1876596 2502128 2649312 2814894 3753192 5004256 5298624 5629788 7506384 10008512 11259576 15012768 22519152 30025536 45038304 90076608