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96890624 = 282931421
BaseRepresentation
bin1011100011001…
…10111100000000
320202022112221122
411301212330000
5144300444444
613340411412
72254361645
oct561467400
9222275848
1096890624
114a7683a6
1228546b68
13170c543c
14cc21dcc
15878d4ee
hex5c66f00

96890624 has 72 divisors (see below), whose sum is σ = 207016320. Its totient is φ = 45158400.

The previous prime is 96890617. The next prime is 96890659. The reversal of 96890624 is 42609869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229934 + ... + 230354.

Almost surely, 296890624 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 96890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103508160).

96890624 is an abundant number, since it is smaller than the sum of its proper divisors (110125696).

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

96890624 is a wasteful number, since it uses less digits than its factorization.

96890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 96890624 is about 9843.3035105091. The cubic root of 96890624 is about 459.2973266733.

The spelling of 96890624 in words is "ninety-six million, eight hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 421 464 496 842 899 928 992 1684 1798 1856 1984 3368 3596 3712 3968 6736 7192 7424 7936 12209 13051 13472 14384 24418 26102 26944 28768 48836 52204 53888 57536 97672 104408 107776 115072 195344 208816 230144 378479 390688 417632 756958 781376 835264 1513916 1562752 1670528 3027832 3125504 3341056 6055664 12111328 24222656 48445312 96890624