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412214504 = 2313171072179
BaseRepresentation
bin11000100100011…
…110010011101000
31001201122122222212
4120210132103220
51321011331004
6104523104252
713133523362
oct3044362350
91051578885
10412214504
111a1758949
12b6072088
136752a110
143ca63d32
15262c796e
hex1891e4e8

412214504 has 64 divisors (see below), whose sum is σ = 889963200. Its totient is φ = 177306624.

The previous prime is 412214483. The next prime is 412214531. The reversal of 412214504 is 405412214.

It is a self number, because there is not a number n which added to its sum of digits gives 412214504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188087 + ... + 190265.

It is an arithmetic number, because the mean of its divisors is an integer number (13905675).

Almost surely, 2412214504 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 412214504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444981600).

412214504 is an abundant number, since it is smaller than the sum of its proper divisors (477748696).

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

412214504 is a wasteful number, since it uses less digits than its factorization.

412214504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 412214504 is about 20303.0663693936. The cubic root of 412214504 is about 744.2310002635.

Adding to 412214504 its reverse (405412214), we get a palindrome (817626718).

The spelling of 412214504 in words is "four hundred twelve million, two hundred fourteen thousand, five hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 107 136 214 221 428 442 856 884 1391 1768 1819 2179 2782 3638 4358 5564 7276 8716 11128 14552 17432 23647 28327 37043 47294 56654 74086 94588 113308 148172 189176 226616 233153 296344 466306 481559 932612 963118 1865224 1926236 3030989 3852472 3963601 6061978 7927202 12123956 15854404 24247912 31708808 51526813 103053626 206107252 412214504