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90215952 = 24319313191
BaseRepresentation
bin1010110000010…
…01011000010000
320021202110000120
411120021120100
5141043402302
612541350240
72143552161
oct530113020
9207673016
1090215952
1146a19642
1226268380
13158c9328
14bda5768
157dc09bc
hex5609610

90215952 has 80 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 27561600.

The previous prime is 90215903. The next prime is 90215977. The reversal of 90215952 is 25951209.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26677 + ... + 29867.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 290215952 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 90215952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

90215952 is an abundant number, since it is smaller than the sum of its proper divisors (163101168).

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

90215952 is a wasteful number, since it uses less digits than its factorization.

90215952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 90215952 is about 9498.2078309542. The cubic root of 90215952 is about 448.4986210651.

The spelling of 90215952 in words is "ninety million, two hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3191 3534 4712 6382 7068 9424 9573 12764 14136 19146 25528 28272 38292 51056 60629 76584 98921 121258 153168 181887 197842 242516 296763 363774 395684 485032 593526 727548 791368 970064 1187052 1455096 1582736 1879499 2374104 2910192 3758998 4748208 5638497 7517996 11276994 15035992 22553988 30071984 45107976 90215952