Search a number
-
+
90057996 = 22327438311
BaseRepresentation
bin1010101111000…
…10110100001100
320021110102100100
411113202310030
5141023323441
612534131100
72142323520
oct527426414
9207412310
1090057996
11469209a6
12261b0a90
1315872472
14bd63d80
157d8dcb6
hex55e2d0c

90057996 has 72 divisors (see below), whose sum is σ = 266249984. Its totient is φ = 25129440.

The previous prime is 90057991. The next prime is 90058009. The reversal of 90057996 is 69975009.

It is a super-2 number, since 2×900579962 = 16220885287072032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90057991) 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 23 ways as a sum of consecutive naturals, for example, 6681 + ... + 14991.

Almost surely, 290057996 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 90057996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133124992).

90057996 is an abundant number, since it is smaller than the sum of its proper divisors (176191988).

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

90057996 is a wasteful number, since it uses less digits than its factorization.

90057996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 90057996 is about 9489.8891458225. The cubic root of 90057996 is about 448.2367145603.

The spelling of 90057996 in words is "ninety million, fifty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 8311 10836 16622 24933 33244 49866 58177 74799 99732 116354 149598 174531 232708 299196 349062 357373 523593 698124 714746 1047186 1072119 1429492 2094372 2144238 2501611 3216357 4288476 5003222 6432714 7504833 10006444 12865428 15009666 22514499 30019332 45028998 90057996