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113828544 = 2633193467
BaseRepresentation
bin1101100100011…
…10001011000000
321221012002102000
412302032023000
5213120003134
615143424000
72551345434
oct662161300
9257162360
10113828544
1159287085
1232155000
131a775b8b
14111909c4
159ed6e99
hex6c8e2c0

113828544 has 112 divisors (see below), whose sum is σ = 352348800. Its totient is φ = 35935488.

The previous prime is 113828527. The next prime is 113828573. The reversal of 113828544 is 445828311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113828499 and 113828508.

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 15 ways as a sum of consecutive naturals, for example, 31099 + ... + 34565.

Almost surely, 2113828544 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 113828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176174400).

113828544 is an abundant number, since it is smaller than the sum of its proper divisors (238520256).

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

113828544 is a wasteful number, since it uses less digits than its factorization.

113828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3491 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 113828544 is about 10669.0460679482. The cubic root of 113828544 is about 484.6375497275.

The spelling of 113828544 in words is "one hundred thirteen million, eight hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3467 3648 4104 5472 6934 8208 10401 10944 13868 16416 20802 27736 31203 32832 41604 55472 62406 65873 83208 93609 110944 124812 131746 166416 187218 197619 221888 249624 263492 332832 374436 395238 499248 526984 592857 665664 748872 790476 998496 1053968 1185714 1497744 1580952 1778571 1996992 2107936 2371428 2995488 3161904 3557142 4215872 4742856 5990976 6323808 7114284 9485712 12647616 14228568 18971424 28457136 37942848 56914272 113828544