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5242839328 = 251923438719
BaseRepresentation
bin1001110000111111…
…10110000100100000
3111112101022211111101
410320133312010200
541214131324303
62224124124144
7243631253566
oct47037660440
914471284441
105242839328
11225049a871
121023996654
13657264bbc
1437a435a36
1520a423d1d
hex1387f6120

5242839328 has 96 divisors (see below), whose sum is σ = 11602483200. Its totient is φ = 2319964416.

The previous prime is 5242839313. The next prime is 5242839353. The reversal of 5242839328 is 8239382425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596953 + ... + 605671.

It is an arithmetic number, because the mean of its divisors is an integer number (120859200).

Almost surely, 25242839328 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 5242839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801241600).

5242839328 is an abundant number, since it is smaller than the sum of its proper divisors (6359643872).

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

5242839328 is a wasteful number, since it uses less digits than its factorization.

5242839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8806 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 5242839328 is about 72407.4535389831. The cubic root of 5242839328 is about 1737.2227823893. Note that the first 3 decimals are identical.

The spelling of 5242839328 in words is "five billion, two hundred forty-two million, eight hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 43 46 76 86 92 152 172 184 304 344 368 437 608 688 736 817 874 989 1376 1634 1748 1978 3268 3496 3956 6536 6992 7912 8719 13072 13984 15824 17438 18791 26144 31648 34876 37582 69752 75164 139504 150328 165661 200537 279008 300656 331322 374917 401074 601312 662644 749834 802148 1325288 1499668 1604296 2650576 2999336 3208592 3810203 5301152 5998672 6417184 7123423 7620406 8623091 11997344 14246846 15240812 17246182 28493692 30481624 34492364 56987384 60963248 68984728 113974768 121926496 137969456 163838729 227949536 275938912 327677458 655354916 1310709832 2621419664 5242839328