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90311232 = 2631161701
BaseRepresentation
bin1010110001000…
…00101001000000
320021221021201110
411120200221000
5141104424412
612543403320
72144430024
oct530405100
9207837643
1090311232
1146a84190
12262b3540
13159307cb
14bdcc384
157dddd3c
hex5620a40

90311232 has 112 divisors (see below), whose sum is σ = 265322304. Its totient is φ = 26880000.

The previous prime is 90311231. The next prime is 90311303. The reversal of 90311232 is 23211309.

It is a happy number.

It is a super-2 number, since 2×903112322 = 16312237250715648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90311199 and 90311208.

It is not an unprimeable number, because it can be changed into a prime (90311231) 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, 128482 + ... + 129182.

Almost surely, 290311232 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 90311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132661152).

90311232 is an abundant number, since it is smaller than the sum of its proper divisors (175011072).

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

90311232 is a wasteful number, since it uses less digits than its factorization.

90311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 90311232 is about 9503.2221903942. Note that the first 3 decimals coincide. The cubic root of 90311232 is about 448.6564568381.

The spelling of 90311232 in words is "ninety million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 701 704 732 976 1056 1342 1402 1464 1952 2013 2103 2112 2684 2804 2928 3904 4026 4206 5368 5608 5856 7711 8052 8412 10736 11216 11712 15422 16104 16824 21472 22432 23133 30844 32208 33648 42761 42944 44864 46266 61688 64416 67296 85522 92532 123376 128283 128832 134592 171044 185064 246752 256566 342088 370128 470371 493504 513132 684176 740256 940742 1026264 1368352 1411113 1480512 1881484 2052528 2736704 2822226 3762968 4105056 5644452 7525936 8210112 11288904 15051872 22577808 30103744 45155616 90311232