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114579472 = 2473161541
BaseRepresentation
bin1101101010001…
…01100000010000
321222121020111011
412311011200100
5213313020342
615211500304
72560623640
oct665054020
9258536434
10114579472
115974a287
1232457694
131a979907
1411308520
15a0d4717
hex6d45810

114579472 has 80 divisors (see below), whose sum is σ = 266681344. Its totient is φ = 46656000.

The previous prime is 114579469. The next prime is 114579571. The reversal of 114579472 is 274975411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211522 + ... + 212062.

Almost surely, 2114579472 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 114579472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133340672).

114579472 is an abundant number, since it is smaller than the sum of its proper divisors (152101872).

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

114579472 is a wasteful number, since it uses less digits than its factorization.

114579472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 114579472 is about 10704.1801180660. The cubic root of 114579472 is about 485.7009342845.

The spelling of 114579472 in words is "one hundred fourteen million, five hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 61 62 112 122 124 217 244 248 427 434 488 496 541 854 868 976 1082 1708 1736 1891 2164 3416 3472 3782 3787 4328 6832 7564 7574 8656 13237 15128 15148 16771 26474 30256 30296 33001 33542 52948 60592 66002 67084 105896 117397 132004 134168 211792 231007 234794 264008 268336 462014 469588 528016 924028 939176 1023031 1848056 1878352 2046062 3696112 4092124 7161217 8184248 14322434 16368496 28644868 57289736 114579472