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428024862 = 232292233677
BaseRepresentation
bin11001100000110…
…010010000011110
31002211101220201200
4121200302100132
51334033243422
6110250020330
713415102616
oct3140622036
91084356650
10428024862
111aa677461
12bb4176a6
136a8a4565
1440bbba46
152789c2ac
hex1983241e

428024862 has 48 divisors (see below), whose sum is σ = 963930240. Its totient is φ = 137100096.

The previous prime is 428024813. The next prime is 428024879. The reversal of 428024862 is 268420824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114568 + ... + 118244.

It is an arithmetic number, because the mean of its divisors is an integer number (20081880).

Almost surely, 2428024862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428024862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481965120).

428024862 is an abundant number, since it is smaller than the sum of its proper divisors (535905378).

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

428024862 is a wasteful number, since it uses less digits than its factorization.

428024862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428024862 is about 20688.7617319162. The cubic root of 428024862 is about 753.6267961958.

The spelling of 428024862 in words is "four hundred twenty-eight million, twenty-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 223 261 446 522 669 1338 2007 3677 4014 6467 7354 11031 12934 19401 22062 33093 38802 58203 66186 106633 116406 213266 319899 639798 819971 959697 1639942 1919394 2459913 4919826 7379739 14759478 23779159 47558318 71337477 142674954 214012431 428024862