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412680928 = 25113159641
BaseRepresentation
bin11000100110010…
…000001011100000
31001202112100210211
4120212100023200
51321121242203
6104541103504
713140505252
oct3046201340
91052470724
10412680928
111a1a47320
12b6257b94
13676614ca
143cb45cd2
152636ac6d
hex189902e0

412680928 has 96 divisors (see below), whose sum is σ = 931875840. Its totient is φ = 178176000.

The previous prime is 412680923. The next prime is 412680953. The reversal of 412680928 is 829086214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412680923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643488 + ... + 644128.

It is an arithmetic number, because the mean of its divisors is an integer number (9707040).

Almost surely, 2412680928 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 412680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465937920).

412680928 is an abundant number, since it is smaller than the sum of its proper divisors (519194912).

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

412680928 is a wasteful number, since it uses less digits than its factorization.

412680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 412680928 is about 20314.5496627417. The cubic root of 412680928 is about 744.5115955630.

The spelling of 412680928 in words is "four hundred twelve million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 59 62 88 118 124 176 236 248 341 352 472 496 641 649 682 944 992 1282 1298 1364 1829 1888 2564 2596 2728 3658 5128 5192 5456 7051 7316 10256 10384 10912 14102 14632 19871 20119 20512 20768 28204 29264 37819 39742 40238 56408 58528 75638 79484 80476 112816 151276 158968 160952 218581 225632 302552 317936 321904 416009 437162 605104 635872 643808 832018 874324 1172389 1210208 1664036 1748648 2344778 3328072 3497296 4689556 6656144 6994592 9379112 12896279 13312288 18758224 25792558 37516448 51585116 103170232 206340464 412680928