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412403013 = 321131831619
BaseRepresentation
bin11000100101001…
…100010101000101
31001202000020120200
4120211030111011
51321033344023
6104531121113
713135240101
oct3045142505
91052006520
10412403013
111a1877540
12b6143199
1367594b69
143cab2901
1526313743
hex1894c545

412403013 has 48 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 238816800.

The previous prime is 412402943. The next prime is 412403027. The reversal of 412403013 is 310304214.

It is not a de Polignac number, because 412403013 - 216 = 412337477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412403053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253918 + ... + 255536.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2412403013 is an apocalyptic number.

It is an amenable number.

412403013 is a deficient number, since it is larger than the sum of its proper divisors (266908347).

412403013 is a wasteful number, since it uses less digits than its factorization.

412403013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412403013 is about 20307.7082163399. The cubic root of 412403013 is about 744.3444305770.

Adding to 412403013 its reverse (310304214), we get a palindrome (722707227).

It can be divided in two parts, 41240 and 3013, that added together give a triangular number (44253 = T297).

The spelling of 412403013 in words is "four hundred twelve million, four hundred three thousand, thirteen".

Divisors: 1 3 9 11 31 33 83 93 99 249 279 341 747 913 1023 1619 2573 2739 3069 4857 7719 8217 14571 17809 23157 28303 50189 53427 84909 134377 150567 160281 254727 403131 451701 552079 1209393 1478147 1656237 4165687 4434441 4968711 12497061 13303323 37491183 45822557 137467671 412403013