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90330408 = 23327199433
BaseRepresentation
bin1010110001001…
…01010100101000
320021222021000200
411120211110220
5141111033113
612544032200
72144536650
oct530452450
9207867020
1090330408
1146a97633
1226302660
131593945c
14bdd5360
157de4873
hex5625528

90330408 has 96 divisors (see below), whose sum is σ = 294340800. Its totient is φ = 24447744.

The previous prime is 90330397. The next prime is 90330413. The reversal of 90330408 is 80403309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4860 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (3066050).

Almost surely, 290330408 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 90330408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147170400).

90330408 is an abundant number, since it is smaller than the sum of its proper divisors (204010392).

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

90330408 is a wasteful number, since it uses less digits than its factorization.

90330408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90330408 is about 9504.2310577974. The cubic root of 90330408 is about 448.6882093572.

The spelling of 90330408 in words is "ninety million, three hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9433 9576 18866 28299 37732 56598 66031 75464 84897 113196 132062 169794 179227 198093 226392 264124 339588 358454 396186 528248 537681 594279 679176 716908 792372 1075362 1188558 1254589 1433816 1584744 1613043 2150724 2377116 2509178 3226086 3763767 4301448 4754232 5018356 6452172 7527534 10036712 11291301 12904344 15055068 22582602 30110136 45165204 90330408