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90276256 = 25717151157
BaseRepresentation
bin1010110000110…
…00000110100000
320021212111202001
411120120012200
5141102320011
612542533344
72144223040
oct530300640
9207774661
1090276256
1146a5a984
1226297254
131591a905
14bdbd720
157dd37c1
hex56181a0

90276256 has 96 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 35942400.

The previous prime is 90276233. The next prime is 90276257. The reversal of 90276256 is 65267209.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90276257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574930 + ... + 575086.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 290276256 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 90276256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108936576).

90276256 is an abundant number, since it is smaller than the sum of its proper divisors (127596896).

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

90276256 is a wasteful number, since it uses less digits than its factorization.

90276256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 90276256 is about 9501.3817942445. The cubic root of 90276256 is about 448.5985303613.

The spelling of 90276256 in words is "ninety million, two hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 151 157 224 238 272 302 314 476 544 604 628 952 1057 1099 1208 1256 1904 2114 2198 2416 2512 2567 2669 3808 4228 4396 4832 5024 5134 5338 8456 8792 10268 10676 16912 17584 17969 18683 20536 21352 23707 33824 35168 35938 37366 41072 42704 47414 71876 74732 82144 85408 94828 143752 149464 165949 189656 287504 298928 331898 379312 403019 575008 597856 663796 758624 806038 1327592 1612076 2655184 2821133 3224152 5310368 5642266 6448304 11284532 12896608 22569064 45138128 90276256