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90265056 = 2537231619
BaseRepresentation
bin1010110000101…
…01010111100000
320021211221101020
411120111113200
5141101440211
612542405440
72144145300
oct530252740
9207757336
1090265056
1146a52522
1226290880
131591579b
14bdb9600
157dd0306
hex56155e0

90265056 has 144 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 24917760.

The previous prime is 90265039. The next prime is 90265079. The reversal of 90265056 is 65056209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145515 + ... + 146133.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 290265056 is an apocalyptic number.

90265056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

90265056 is an abundant number, since it is smaller than the sum of its proper divisors (194716704).

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

90265056 is a wasteful number, since it uses less digits than its factorization.

90265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 90265056 is about 9500.7923880064. The cubic root of 90265056 is about 448.5799780067.

The spelling of 90265056 in words is "ninety million, two hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 619 651 672 744 784 868 992 1176 1238 1302 1488 1519 1568 1736 1857 2352 2476 2604 2976 3038 3472 3714 4333 4557 4704 4952 5208 6076 6944 7428 8666 9114 9904 10416 12152 12999 14856 17332 18228 19189 19808 20832 24304 25998 29712 30331 34664 36456 38378 48608 51996 57567 59424 60662 69328 72912 76756 90993 103992 115134 121324 134323 138656 145824 153512 181986 207984 230268 242648 268646 307024 363972 402969 415968 460536 485296 537292 614048 727944 805938 921072 940261 970592 1074584 1455888 1611876 1842144 1880522 2149168 2820783 2911776 3223752 3761044 4298336 5641566 6447504 7522088 11283132 12895008 15044176 22566264 30088352 45132528 90265056