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98903168 = 2772131213
BaseRepresentation
bin1011110010100…
…10010010000000
320220002210122022
411321102102000
5200304400133
613451501012
72310443300
oct571222200
9226083568
1098903168
1150912461
1229157768
131764b4b0
14d1c7600
158a39998
hex5e52480

98903168 has 96 divisors (see below), whose sum is σ = 247036860. Its totient is φ = 39094272.

The previous prime is 98903149. The next prime is 98903171. The reversal of 98903168 is 86130989.

It can be written as a sum of positive squares in 2 ways, for example, as 77299264 + 21603904 = 8792^2 + 4648^2 .

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, 80930 + ... + 82142.

Almost surely, 298903168 is an apocalyptic number.

98903168 is a gapful number since it is divisible by the number (98) 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 98903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123518430).

98903168 is an abundant number, since it is smaller than the sum of its proper divisors (148133692).

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

98903168 is a wasteful number, since it uses less digits than its factorization.

98903168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 98903168 is about 9945.0071895399. The cubic root of 98903168 is about 462.4556264221.

It can be divided in two parts, 98 and 903168, that multiplied together give a square (88510464 = 94082).

The spelling of 98903168 in words is "ninety-eight million, nine hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1213 1274 1456 1568 1664 2426 2548 2912 3136 4852 5096 5824 6272 8491 9704 10192 11648 15769 16982 19408 20384 31538 33964 38816 40768 59437 63076 67928 77632 81536 110383 118874 126152 135856 155264 220766 237748 252304 271712 441532 475496 504608 543424 772681 883064 950992 1009216 1086848 1545362 1766128 1901984 2018432 3090724 3532256 3803968 6181448 7064512 7607936 12362896 14129024 24725792 49451584 98903168