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98256048 = 24311712621
BaseRepresentation
bin1011101101101…
…00010010110000
320211212220221220
411312310102300
5200123143143
613425545040
72302106532
oct566642260
9224786856
1098256048
1150510250
1228aa5180
1317482a97
14d099852
15895cd83
hex5db44b0

98256048 has 80 divisors (see below), whose sum is σ = 280910592. Its totient is φ = 29344000.

The previous prime is 98256047. The next prime is 98256077. The reversal of 98256048 is 84065289.

It is not an unprimeable number, because it can be changed into a prime (98256047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36178 + ... + 38798.

Almost surely, 298256048 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 98256048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455296).

98256048 is an abundant number, since it is smaller than the sum of its proper divisors (182654544).

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

98256048 is a wasteful number, since it uses less digits than its factorization.

98256048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 98256048 is about 9912.4188773477. The cubic root of 98256048 is about 461.4448082454. Note that the first 3 decimals are identical.

The spelling of 98256048 in words is "ninety-eight million, two hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 2621 3124 3408 4686 5242 6248 7863 9372 10484 12496 15726 18744 20968 28831 31452 37488 41936 57662 62904 86493 115324 125808 172986 186091 230648 345972 372182 461296 558273 691944 744364 1116546 1383888 1488728 2047001 2233092 2977456 4094002 4466184 6141003 8188004 8932368 12282006 16376008 24564012 32752016 49128024 98256048