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90488496 = 2437279487
BaseRepresentation
bin1010110010010…
…11111010110000
320022021021212210
411121023322300
5141131112441
612551252120
72146065600
oct531137260
9208237783
1090488496
114709538a
122637a040
13159933b7
14c036c00
157e26616
hex564beb0

90488496 has 120 divisors (see below), whose sum is σ = 275934720. Its totient is φ = 25474176.

The previous prime is 90488483. The next prime is 90488513. The reversal of 90488496 is 69488409.

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

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, 185565 + ... + 186051.

It is an arithmetic number, because the mean of its divisors is an integer number (2299456).

Almost surely, 290488496 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 90488496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967360).

90488496 is an abundant number, since it is smaller than the sum of its proper divisors (185446224).

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

90488496 is a wasteful number, since it uses less digits than its factorization.

90488496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 90488496 is about 9512.5441391880. The cubic root of 90488496 is about 448.9498077997.

The spelling of 90488496 in words is "ninety million, four hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 487 553 588 632 784 948 974 1106 1176 1264 1461 1659 1896 1948 2212 2352 2922 3318 3409 3792 3871 3896 4424 5844 6636 6818 7742 7792 8848 10227 11613 11688 13272 13636 15484 20454 23226 23376 23863 26544 27272 30968 38473 40908 46452 47726 54544 61936 71589 76946 81816 92904 95452 115419 143178 153892 163632 185808 190904 230838 269311 286356 307784 381808 461676 538622 572712 615568 807933 923352 1077244 1145424 1615866 1846704 1885177 2154488 3231732 3770354 4308976 5655531 6463464 7540708 11311062 12926928 15081416 22622124 30162832 45244248 90488496