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93898116 = 2236132477
BaseRepresentation
bin1011001100011…
…00010110000100
320112200112000000
411212030112010
5143014214431
613152321300
72220056304
oct546142604
9215615000
1093898116
1149004054
1227543230
13165b8320
14c683604
15839b9e6
hex598c584

93898116 has 84 divisors (see below), whose sum is σ = 265428492. Its totient is φ = 28880064.

The previous prime is 93898109. The next prime is 93898127. The reversal of 93898116 is 61189839.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 64738116 = 5400^2 + 8046^2 .

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 27 ways as a sum of consecutive naturals, for example, 36670 + ... + 39146.

It is an arithmetic number, because the mean of its divisors is an integer number (3159863).

Almost surely, 293898116 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 93898116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132714246).

93898116 is an abundant number, since it is smaller than the sum of its proper divisors (171530376).

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

93898116 is a wasteful number, since it uses less digits than its factorization.

93898116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2495 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 93898116 is about 9690.1040242094. The cubic root of 93898116 is about 454.5192620010.

The spelling of 93898116 in words is "ninety-three million, eight hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2477 2916 3159 4212 4954 6318 7431 9477 9908 12636 14862 18954 22293 29724 32201 37908 44586 64402 66879 89172 96603 128804 133758 193206 200637 267516 289809 386412 401274 579618 601911 802548 869427 1159236 1203822 1738854 1805733 2407644 2608281 3477708 3611466 5216562 7222932 7824843 10433124 15649686 23474529 31299372 46949058 93898116