Search a number
-
+
90094656 = 2631924697
BaseRepresentation
bin1010101111010…
…11110001000000
320021112021122010
411113223301000
5141031012111
612535012520
72142535431
oct527536100
9207467563
1090094656
11469464a3
122620a140
1315886062
14bd73488
157d99aa6
hex55ebc40

90094656 has 56 divisors (see below), whose sum is σ = 250931680. Its totient is φ = 28449792.

The previous prime is 90094651. The next prime is 90094673. The reversal of 90094656 is 65649009.

It is not an unprimeable number, because it can be changed into a prime (90094651) 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 7 ways as a sum of consecutive naturals, for example, 8701 + ... + 15996.

Almost surely, 290094656 is an apocalyptic number.

90094656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90094656 is an abundant number, since it is smaller than the sum of its proper divisors (160837024).

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

90094656 is a wasteful number, since it uses less digits than its factorization.

90094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 90094656 is about 9491.8204787069. The cubic root of 90094656 is about 448.2975277010.

The spelling of 90094656 in words is "ninety million, ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 24697 49394 74091 98788 148182 197576 296364 395152 469243 592728 790304 938486 1185456 1407729 1580608 1876972 2370912 2815458 3753944 4741824 5630916 7507888 11261832 15015776 22523664 30031552 45047328 90094656