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113084448 = 253101107109
BaseRepresentation
bin1101011110110…
…00100000100000
321212210021200220
412233120200200
5212422200243
615115443040
72542126161
oct657304040
9255707626
10113084448
1158919024
1231a56480
131a575299
1411039768
159ddb783
hex6bd8820

113084448 has 96 divisors (see below), whose sum is σ = 305363520. Its totient is φ = 36633600.

The previous prime is 113084441. The next prime is 113084467. The reversal of 113084448 is 844480311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (113084441) 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, 1037418 + ... + 1037526.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2113084448 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 113084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152681760).

113084448 is an abundant number, since it is smaller than the sum of its proper divisors (192279072).

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

113084448 is a wasteful number, since it uses less digits than its factorization.

113084448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 113084448 is about 10634.1171706917. The cubic root of 113084448 is about 483.5792167337.

The spelling of 113084448 in words is "one hundred thirteen million, eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 107 109 202 214 218 303 321 327 404 428 436 606 642 654 808 856 872 1212 1284 1308 1616 1712 1744 2424 2568 2616 3232 3424 3488 4848 5136 5232 9696 10272 10464 10807 11009 11663 21614 22018 23326 32421 33027 34989 43228 44036 46652 64842 66054 69978 86456 88072 93304 129684 132108 139956 172912 176144 186608 259368 264216 279912 345824 352288 373216 518736 528432 559824 1037472 1056864 1119648 1177963 2355926 3533889 4711852 7067778 9423704 14135556 18847408 28271112 37694816 56542224 113084448