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113533888 = 26131723349
BaseRepresentation
bin1101100010001…
…10001111000000
321220122010012211
412301012033000
5213031041023
615133231504
72546010406
oct661061700
9256563184
10113533888
11590a5766
1232032594
131a6a1a20
1411115476
159e79a0d
hex6c463c0

113533888 has 112 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 47038464.

The previous prime is 113533883. The next prime is 113533891. The reversal of 113533888 is 888335311.

It is a self number, because there is not a number n which added to its sum of digits gives 113533888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113533883) by changing a digit.

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, 325138 + ... + 325486.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2113533888 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 113533888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

113533888 is an abundant number, since it is smaller than the sum of its proper divisors (155299712).

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

113533888 is a wasteful number, since it uses less digits than its factorization.

113533888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 113533888 is about 10655.2282002780. The cubic root of 113533888 is about 484.2190115981.

The spelling of 113533888 in words is "one hundred thirteen million, five hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 136 184 208 221 272 299 349 368 391 416 442 544 598 698 736 782 832 884 1088 1196 1396 1472 1564 1768 2392 2792 3128 3536 4537 4784 5083 5584 5933 6256 7072 8027 9074 9568 10166 11168 11866 12512 14144 16054 18148 19136 20332 22336 23732 25024 32108 36296 40664 47464 64216 72592 77129 81328 94928 104351 128432 136459 145184 154258 162656 189856 208702 256864 272918 290368 308516 325312 379712 417404 513728 545836 617032 834808 1091672 1234064 1669616 1773967 2183344 2468128 3339232 3547934 4366688 4936256 6678464 7095868 8733376 14191736 28383472 56766944 113533888