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412402944 = 283618803
BaseRepresentation
bin11000100101001…
…100010100000000
31001202000020111010
4120211030110000
51321033343234
6104531120520
713135236642
oct3045142400
91052006433
10412402944
111a1877488
12b6143140
1367594b15
143cab2892
15263136e9
hex1894c500

412402944 has 72 divisors (see below), whose sum is σ = 1115713312. Its totient is φ = 135198720.

The previous prime is 412402943. The next prime is 412403027. The reversal of 412402944 is 449204214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412402943) 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, 42447 + ... + 51249.

Almost surely, 2412402944 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 412402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557856656).

412402944 is an abundant number, since it is smaller than the sum of its proper divisors (703310368).

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

412402944 is an equidigital number, since it uses as much as digits as its factorization.

412402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 412402944 is about 20307.7065174775. The cubic root of 412402944 is about 744.3443890644.

The spelling of 412402944 in words is "four hundred twelve million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 8803 11712 15616 17606 23424 26409 35212 46848 52818 70424 105636 140848 211272 281696 422544 536983 563392 845088 1073966 1126784 1610949 1690176 2147932 2253568 3221898 3380352 4295864 6443796 6760704 8591728 12887592 17183456 25775184 34366912 51550368 68733824 103100736 137467648 206201472 412402944