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419406252 = 223175233931
BaseRepresentation
bin11000111111111…
…010000110101100
31002020012001012220
4120333322012230
51324332000002
6105341155340
713251615516
oct3077720654
91066161186
10419406252
111a5820141
12b855bb50
1368b776a5
143d9b6bb6
1526c487bc
hex18ffa1ac

419406252 has 48 divisors (see below), whose sum is σ = 1038425472. Its totient is φ = 131293440.

The previous prime is 419406157. The next prime is 419406257. The reversal of 419406252 is 252604914.

It is not an unprimeable number, because it can be changed into a prime (419406257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104727 + ... + 108657.

It is an arithmetic number, because the mean of its divisors is an integer number (21633864).

Almost surely, 2419406252 is an apocalyptic number.

It is an amenable number.

419406252 is an abundant number, since it is smaller than the sum of its proper divisors (619019220).

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

419406252 is a wasteful number, since it uses less digits than its factorization.

419406252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 419406252 is about 20479.4104407329. The cubic root of 419406252 is about 748.5341752323.

The spelling of 419406252 in words is "four hundred nineteen million, four hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 523 1046 1569 2092 3138 3931 6276 7862 8891 11793 15724 17782 23586 26673 35564 47172 53346 66827 106692 133654 200481 267308 400962 801924 2055913 4111826 6167739 8223652 12335478 24670956 34950521 69901042 104851563 139802084 209703126 419406252