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412423056 = 24336714249
BaseRepresentation
bin11000100101010…
…001001110010000
31001202001021002000
4120211101032100
51321040014211
6104531354000
713135352403
oct3045211620
91052037060
10412423056
111a1890601
12b6152900
13675a1016
143cab9d3a
1526319656
hex18951390

412423056 has 80 divisors (see below), whose sum is σ = 1201560000. Its totient is φ = 135412992.

The previous prime is 412423049. The next prime is 412423057. The reversal of 412423056 is 650324214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412423057) 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, 21820 + ... + 36068.

It is an arithmetic number, because the mean of its divisors is an integer number (15019500).

Almost surely, 2412423056 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 412423056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600780000).

412423056 is an abundant number, since it is smaller than the sum of its proper divisors (789136944).

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

412423056 is a wasteful number, since it uses less digits than its factorization.

412423056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 412423056 is about 20308.2016929122. The cubic root of 412423056 is about 744.3564888899.

The spelling of 412423056 in words is "four hundred twelve million, four hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14249 14472 28498 28944 42747 56996 85494 113992 128241 170988 227984 256482 341976 384723 512964 683952 769446 954683 1025928 1538892 1909366 2051856 2864049 3077784 3818732 5728098 6155568 7637464 8592147 11456196 15274928 17184294 22912392 25776441 34368588 45824784 51552882 68737176 103105764 137474352 206211528 412423056