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4831428624 = 2431137247309
BaseRepresentation
bin1000111111111100…
…11100000000010000
3110110201012000002220
410133332130000100
534343321203444
62115230141040
7230504315511
oct43776340020
913421160086
104831428624
11205a240920
12b2a051780
135bcc59909
1433b940a08
151d4259619
hex11ff9c010

4831428624 has 80 divisors (see below), whose sum is σ = 13983896640. Its totient is φ = 1424494080.

The previous prime is 4831428601. The next prime is 4831428629. The reversal of 4831428624 is 4268241384.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4831428629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104119 + ... + 143190.

It is an arithmetic number, because the mean of its divisors is an integer number (174798708).

Almost surely, 24831428624 is an apocalyptic number.

4831428624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4831428624 is an abundant number, since it is smaller than the sum of its proper divisors (9152468016).

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

4831428624 is a wasteful number, since it uses less digits than its factorization.

4831428624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247368 (or 247362 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4831428624 is about 69508.4787921589. The cubic root of 4831428624 is about 1690.5389810121.

The spelling of 4831428624 in words is "four billion, eight hundred thirty-one million, four hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 247309 494618 741927 989236 1483854 1978472 2720399 2967708 3956944 5440798 5935416 8161197 9150433 10881596 11870832 16322394 18300866 21763192 27451299 32644788 36601732 43526384 54902598 65289576 73203464 100654763 109805196 130579152 146406928 201309526 219610392 301964289 402619052 439220784 603928578 805238104 1207857156 1610476208 2415714312 4831428624