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98768916 = 223319127379
BaseRepresentation
bin1011110001100…
…01100000010100
320212211222111000
411320301200110
5200241101131
613444543300
72306344011
oct570614024
9225758430
1098768916
1150830604
12290b1b30
131760235c
14d190708
158a0ece6
hex5e31814

98768916 has 96 divisors (see below), whose sum is σ = 272384000. Its totient is φ = 30862944.

The previous prime is 98768903. The next prime is 98768939. The reversal of 98768916 is 61986789.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260415 + ... + 260793.

Almost surely, 298768916 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 98768916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136192000).

98768916 is an abundant number, since it is smaller than the sum of its proper divisors (173615084).

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

98768916 is a wasteful number, since it uses less digits than its factorization.

98768916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

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

The square root of 98768916 is about 9938.2551788531. The cubic root of 98768916 is about 462.2462846081.

The spelling of 98768916 in words is "ninety-eight million, seven hundred sixty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 127 171 228 254 342 379 381 508 513 684 758 762 1026 1137 1143 1516 1524 2052 2274 2286 2413 3411 3429 4548 4572 4826 6822 6858 7201 7239 9652 10233 13644 13716 14402 14478 20466 21603 21717 28804 28956 40932 43206 43434 48133 64809 65151 86412 86868 96266 129618 130302 144399 192532 194427 259236 260604 288798 388854 433197 577596 777708 866394 914527 1299591 1732788 1829054 2599182 2743581 3658108 5198364 5487162 8230743 10974324 16461486 24692229 32922972 49384458 98768916