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428326832 = 241713911329
BaseRepresentation
bin11001100001111…
…011111110110000
31002211222020221202
4121201323332300
51334122424312
6110300310332
713420501163
oct3141737660
91084866852
10428326832
111aa86331a
12bb5423a8
136a97bb3b
1440c59ada
152790b9c2
hex1987bfb0

428326832 has 40 divisors (see below), whose sum is σ = 885099600. Its totient is φ = 200097792.

The previous prime is 428326831. The next prime is 428326841. The reversal of 428326832 is 238623824.

It is a super-2 number, since 2×4283268322 = 366927750022312448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428326831) 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 7 ways as a sum of consecutive naturals, for example, 32144 + ... + 43472.

It is an arithmetic number, because the mean of its divisors is an integer number (22127490).

Almost surely, 2428326832 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 428326832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442549800).

428326832 is an abundant number, since it is smaller than the sum of its proper divisors (456772768).

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

428326832 is a wasteful number, since it uses less digits than its factorization.

428326832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11487 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 428326832 is about 20696.0583686846. The cubic root of 428326832 is about 753.8039815321.

The spelling of 428326832 in words is "four hundred twenty-eight million, three hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2363 4726 9452 11329 18904 22658 37808 45316 90632 181264 192593 385186 770372 1540744 1574731 3081488 3149462 6298924 12597848 25195696 26770427 53540854 107081708 214163416 428326832