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412118048 = 25231274409
BaseRepresentation
bin11000100100000…
…110110000100000
31001201110202200102
4120210012300200
51321000234143
6104521041532
713132642226
oct3044066040
91051422612
10412118048
111a16a2431
12b60262a8
13674c5244
143ca3ab16
15262a90b8
hex18906c20

412118048 has 48 divisors (see below), whose sum is σ = 853493760. Its totient is φ = 195503616.

The previous prime is 412118041. The next prime is 412118053. The reversal of 412118048 is 840811214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 412118048.

It is not an unprimeable number, because it can be changed into a prime (412118041) 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, 91268 + ... + 95676.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2412118048 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 412118048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

412118048 is an abundant number, since it is smaller than the sum of its proper divisors (441375712).

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

412118048 is a wasteful number, since it uses less digits than its factorization.

412118048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 412118048 is about 20300.6908256837. The cubic root of 412118048 is about 744.1729470376.

The spelling of 412118048 in words is "four hundred twelve million, one hundred eighteen thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 127 184 254 368 508 736 1016 2032 2921 4064 4409 5842 8818 11684 17636 23368 35272 46736 70544 93472 101407 141088 202814 405628 559943 811256 1119886 1622512 2239772 3245024 4479544 8959088 12878689 17918176 25757378 51514756 103029512 206059024 412118048