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112942648 = 23721337599
BaseRepresentation
bin1101011101101…
…01111000111000
321212112002012001
412232311320320
5212403131043
615112430344
72540665600
oct656657070
9255462161
10112942648
1158831535
12319a83b4
131a525890
1410dddc00
159dae74d
hex6bb5e38

112942648 has 96 divisors (see below), whose sum is σ = 272916000. Its totient is φ = 43400448.

The previous prime is 112942633. The next prime is 112942651. The reversal of 112942648 is 846249211.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188253 + ... + 188851.

It is an arithmetic number, because the mean of its divisors is an integer number (2842875).

Almost surely, 2112942648 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 112942648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136458000).

112942648 is an abundant number, since it is smaller than the sum of its proper divisors (159973352).

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

112942648 is a wasteful number, since it uses less digits than its factorization.

112942648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 112942648 is about 10627.4478591993. The cubic root of 112942648 is about 483.3770073364.

The spelling of 112942648 in words is "one hundred twelve million, nine hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 599 637 728 962 1036 1198 1274 1813 1924 2072 2396 2548 3367 3626 3848 4193 4792 5096 6734 7252 7787 8386 13468 14504 15574 16772 22163 23569 26936 29351 31148 33544 44326 47138 54509 58702 62296 88652 94276 109018 117404 155141 177304 188552 218036 234808 288119 310282 381563 436072 576238 620564 763126 1085987 1152476 1241128 1526252 2016833 2171974 2304952 3052504 4033666 4343948 8067332 8687896 14117831 16134664 28235662 56471324 112942648