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116996448 = 2531724217
BaseRepresentation
bin1101111100100…
…11100101100000
322011011000221210
412332103211200
5214422341243
615335350120
72620311342
oct676234540
9264130853
10116996448
1160050188
1233222340
131b314a8a
1411777292
15a410933
hex6f93960

116996448 has 72 divisors (see below), whose sum is σ = 326321352. Its totient is φ = 36696064.

The previous prime is 116996437. The next prime is 116996459. The reversal of 116996448 is 844699611.

It is an interprime number because it is at equal distance from previous prime (116996437) and next prime (116996459).

It is a super-3 number, since 3×1169964483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 116996397 and 116996406.

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, 25636 + ... + 29852.

It is an arithmetic number, because the mean of its divisors is an integer number (4532241).

Almost surely, 2116996448 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 116996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163160676).

116996448 is an abundant number, since it is smaller than the sum of its proper divisors (209324904).

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

116996448 is a wasteful number, since it uses less digits than its factorization.

116996448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4239 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 116996448 is about 10816.4896338877. The cubic root of 116996448 is about 489.0923751031.

The spelling of 116996448 in words is "one hundred sixteen million, nine hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4217 4624 6936 8434 9248 12651 13872 16868 25302 27744 33736 50604 67472 71689 101208 134944 143378 202416 215067 286756 404832 430134 573512 860268 1147024 1218713 1720536 2294048 2437426 3441072 3656139 4874852 6882144 7312278 9749704 14624556 19499408 29249112 38998816 58498224 116996448