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113538048 = 2103132843
BaseRepresentation
bin1101100010001…
…11010000000000
321220122022220220
412301013100000
5213031204143
615133303040
72546025501
oct661072000
9256568826
10113538048
11590a88a8
1232034a80
131a6a38a0
1411116ba8
159e7ad83
hex6c47400

113538048 has 88 divisors (see below), whose sum is σ = 326013408. Its totient is φ = 34922496.

The previous prime is 113538043. The next prime is 113538067. The reversal of 113538048 is 840835311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113538043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38515 + ... + 41357.

Almost surely, 2113538048 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 113538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163006704).

113538048 is an abundant number, since it is smaller than the sum of its proper divisors (212475360).

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

113538048 is a wasteful number, since it uses less digits than its factorization.

113538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 113538048 is about 10655.4234078238. The cubic root of 113538048 is about 484.2249256223.

The spelling of 113538048 in words is "one hundred thirteen million, five hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 2843 3072 3328 4992 5686 6656 8529 9984 11372 13312 17058 19968 22744 34116 36959 39936 45488 68232 73918 90976 110877 136464 147836 181952 221754 272928 295672 363904 443508 545856 591344 727808 887016 1091712 1182688 1455616 1774032 2183424 2365376 2911232 3548064 4366848 4730752 7096128 8733696 9461504 14192256 18923008 28384512 37846016 56769024 113538048