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90928992 = 25371112301
BaseRepresentation
bin1010110101101…
…11011101100000
320100002200010110
411122313131200
5141234211432
613004531320
72152612050
oct532673540
9210080113
1090928992
1147366330
1226550b40
1315ab8a4b
14c10d560
157eb1dcc
hex56b7760

90928992 has 96 divisors (see below), whose sum is σ = 297609984. Its totient is φ = 23616000.

The previous prime is 90928991. The next prime is 90928997. The reversal of 90928992 is 29982909.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×909289922 = 16536163172272128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90928991) 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, 1242 + ... + 13542.

It is an arithmetic number, because the mean of its divisors is an integer number (3100104).

Almost surely, 290928992 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 90928992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148804992).

90928992 is an abundant number, since it is smaller than the sum of its proper divisors (206680992).

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

90928992 is a wasteful number, since it uses less digits than its factorization.

90928992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12332 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 90928992 is about 9535.6694573585. The cubic root of 90928992 is about 449.6771214740.

The spelling of 90928992 in words is "ninety million, nine hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 12301 24602 36903 49204 73806 86107 98408 135311 147612 172214 196816 258321 270622 295224 344428 393632 405933 516642 541244 590448 688856 811866 947177 1033284 1082488 1180896 1377712 1623732 1894354 2066568 2164976 2755424 2841531 3247464 3788708 4133136 4329952 5683062 6494928 7577416 8266272 11366124 12989856 15154832 22732248 30309664 45464496 90928992