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98716896 = 25323111057
BaseRepresentation
bin1011110001001…
…00110011100000
320212202100010100
411320210303200
5200232420041
613443502400
72306036235
oct570446340
9225670110
1098716896
11507a5513
1229087a00
13175b4785
14d17978c
1589ee6b6
hex5e24ce0

98716896 has 72 divisors (see below), whose sum is σ = 289808064. Its totient is φ = 31841280.

The previous prime is 98716883. The next prime is 98716901. The reversal of 98716896 is 69861789.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3400 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (4025112).

Almost surely, 298716896 is an apocalyptic number.

98716896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144904032).

98716896 is an abundant number, since it is smaller than the sum of its proper divisors (191091168).

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

98716896 is a wasteful number, since it uses less digits than its factorization.

98716896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11093 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 98716896 is about 9935.6376745532. The cubic root of 98716896 is about 462.1651177948.

The spelling of 98716896 in words is "ninety-eight million, seven hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 11057 22114 33171 44228 66342 88456 99513 132684 176912 199026 265368 342767 353824 398052 530736 685534 796104 1028301 1061472 1371068 1592208 2056602 2742136 3084903 3184416 4113204 5484272 6169806 8226408 10968544 12339612 16452816 24679224 32905632 49358448 98716896