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413800256 = 2653121993
BaseRepresentation
bin11000101010100…
…001011101000000
31001211122020020102
4120222201131000
51321413102011
6105021101532
713153146512
oct3052413500
91054566212
10413800256
111a2641291
12b66b78a8
1367963b2c
143cd57bb2
15264dc73b
hex18aa1740

413800256 has 28 divisors (see below), whose sum is σ = 836634852. Its totient is φ = 202994688.

The previous prime is 413800253. The next prime is 413800301. The reversal of 413800256 is 652008314.

It can be written as a sum of positive squares in 2 ways, for example, as 223801600 + 189998656 = 14960^2 + 13784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413800253) 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 3 ways as a sum of consecutive naturals, for example, 57605 + ... + 64388.

Almost surely, 2413800256 is an apocalyptic number.

It is an amenable number.

413800256 is an abundant number, since it is smaller than the sum of its proper divisors (422834596).

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

413800256 is a wasteful number, since it uses less digits than its factorization.

413800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122058 (or 122048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 413800256 is about 20342.0809161698. The cubic root of 413800256 is about 745.1841089656.

The spelling of 413800256 in words is "four hundred thirteen million, eight hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 121993 243986 487972 975944 1951888 3903776 6465629 7807552 12931258 25862516 51725032 103450064 206900128 413800256