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90961488 = 2433239881
BaseRepresentation
bin1010110101111…
…11011001010000
320100011022201000
411122333121100
5141241231423
613005342000
72153105562
oct532773120
9210138630
1090961488
1147388792
1226567900
1315aca787
14c11b332
157ebb843
hex56bf650

90961488 has 80 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 30159360.

The previous prime is 90961447. The next prime is 90961499. The reversal of 90961488 is 88416909.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102808 + ... + 103688.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 290961488 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 90961488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

90961488 is an abundant number, since it is smaller than the sum of its proper divisors (171521712).

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

90961488 is a wasteful number, since it uses less digits than its factorization.

90961488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90961488 is about 9537.3732232727. The cubic root of 90961488 is about 449.7306832955.

The spelling of 90961488 in words is "ninety million, nine hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 717 881 956 1434 1762 1912 2151 2643 2868 3524 3824 4302 5286 5736 6453 7048 7929 8604 10572 11472 12906 14096 15858 17208 21144 23787 25812 31716 34416 42288 47574 51624 63432 95148 103248 126864 190296 210559 380592 421118 631677 842236 1263354 1684472 1895031 2526708 3368944 3790062 5053416 5685093 7580124 10106832 11370186 15160248 22740372 30320496 45480744 90961488