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413929472 = 212119187
BaseRepresentation
bin11000101011000…
…001000000000000
31001211212210111012
4120223001000000
51321431220342
6105023540052
713154225315
oct3053010000
91054783435
10413929472
111a271a380
12b675a628
13679aa8a8
143cd8cd0c
1526515b82
hex18ac1000

413929472 has 52 divisors (see below), whose sum is σ = 903106896. Its totient is φ = 188129280.

The previous prime is 413929429. The next prime is 413929487. The reversal of 413929472 is 274929314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40463 + ... + 49649.

Almost surely, 2413929472 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 413929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451553448).

413929472 is an abundant number, since it is smaller than the sum of its proper divisors (489177424).

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

413929472 is an equidigital number, since it uses as much as digits as its factorization.

413929472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9200 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 413929472 is about 20345.2567445093. The cubic root of 413929472 is about 745.2616662633.

The spelling of 413929472 in words is "four hundred thirteen million, nine hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 9187 11264 18374 22528 36748 45056 73496 101057 146992 202114 293984 404228 587968 808456 1175936 1616912 2351872 3233824 4703744 6467648 9407488 12935296 18814976 25870592 37629952 51741184 103482368 206964736 413929472