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428233624 = 237131035711
BaseRepresentation
bin11001100001100…
…101001110011000
31002211210112002121
4121201211032120
51334111433444
6110254311024
713416632350
oct3141451630
91084715077
10428233624
111aa7aa295
12bb4b8474
136a9485a0
1440c33b60
15278de084
hex19865398

428233624 has 64 divisors (see below), whose sum is σ = 998000640. Its totient is φ = 167736960.

The previous prime is 428233613. The next prime is 428233639. The reversal of 428233624 is 426332824.

It is a self number, because there is not a number n which added to its sum of digits gives 428233624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72129 + ... + 77839.

It is an arithmetic number, because the mean of its divisors is an integer number (15593760).

Almost surely, 2428233624 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 428233624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499000320).

428233624 is an abundant number, since it is smaller than the sum of its proper divisors (569767016).

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

428233624 is a wasteful number, since it uses less digits than its factorization.

428233624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5836 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 428233624 is about 20693.8064164136. The cubic root of 428233624 is about 753.7492992558.

The spelling of 428233624 in words is "four hundred twenty-eight million, two hundred thirty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 182 206 364 412 721 728 824 1339 1442 2678 2884 5356 5711 5768 9373 10712 11422 18746 22844 37492 39977 45688 74243 74984 79954 148486 159908 296972 319816 519701 588233 593944 1039402 1176466 2078804 2352932 4117631 4157608 4705864 7647029 8235262 15294058 16470524 30588116 32941048 53529203 61176232 107058406 214116812 428233624