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113808948 = 2231117411237
BaseRepresentation
bin1101100100010…
…01011000110100
321221011002112020
412302021120310
5213113341243
615143153140
72551234341
oct662113064
9257132466
10113808948
1159273390
12321457b0
131a769c96
14111877c8
159ed1283
hex6c89634

113808948 has 96 divisors (see below), whose sum is σ = 314471808. Its totient is φ = 31641600.

The previous prime is 113808941. The next prime is 113808977. The reversal of 113808948 is 849808311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113808941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91386 + ... + 92622.

It is an arithmetic number, because the mean of its divisors is an integer number (3275748).

Almost surely, 2113808948 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 113808948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157235904).

113808948 is an abundant number, since it is smaller than the sum of its proper divisors (200662860).

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

113808948 is a wasteful number, since it uses less digits than its factorization.

113808948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 113808948 is about 10668.1276707771. The cubic root of 113808948 is about 484.6097374228.

The spelling of 113808948 in words is "one hundred thirteen million, eight hundred eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 123 132 164 187 204 246 374 451 492 561 697 748 902 1122 1237 1353 1394 1804 2091 2244 2474 2706 2788 3711 4182 4948 5412 7422 7667 8364 13607 14844 15334 21029 23001 27214 30668 40821 42058 46002 50717 54428 63087 81642 84116 92004 101434 126174 152151 163284 202868 231319 252348 304302 462638 557887 608604 693957 862189 925276 1115774 1387914 1673661 1724378 2231548 2586567 2775828 3347322 3448756 5173134 6694644 9484079 10346268 18968158 28452237 37936316 56904474 113808948