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5238444016 = 241337701971
BaseRepresentation
bin1001110000011110…
…00100111111110000
3111112002001112021001
410320033010333300
541212020202031
62223450011344
7243546016351
oct47017047760
914462045231
105238444016
112248a68583
121022416b54
13656386420
14379a0dd28
15209d56861
hex1383c4ff0

5238444016 has 80 divisors (see below), whose sum is σ = 11253217248. Its totient is φ = 2346624000.

The previous prime is 5238443957. The next prime is 5238444019. The reversal of 5238444016 is 6104448325.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238444019) 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 15 ways as a sum of consecutive naturals, for example, 5394411 + ... + 5395381.

Almost surely, 25238444016 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 5238444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626608624).

5238444016 is an abundant number, since it is smaller than the sum of its proper divisors (6014773232).

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

5238444016 is a wasteful number, since it uses less digits than its factorization.

5238444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5238444016 is about 72377.0959351092. The cubic root of 5238444016 is about 1736.7371822259.

The spelling of 5238444016 in words is "five billion, two hundred thirty-eight million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 701 962 971 1402 1924 1942 2804 3848 3884 5608 7696 7768 9113 11216 12623 15536 18226 25246 25937 35927 36452 50492 51874 71854 72904 100984 103748 143708 145808 201968 207496 287416 337181 414992 467051 574832 674362 680671 934102 1348724 1361342 1868204 2697448 2722684 3736408 5394896 5445368 7472816 8848723 10890736 17697446 25184827 35394892 50369654 70789784 100739308 141579568 201478616 327402751 402957232 654805502 1309611004 2619222008 5238444016