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5321024072 = 2372131723613
BaseRepresentation
bin1001111010010100…
…00110001001001000
3111201211110000210122
410331022012021020
541344140232242
62240000002412
7245600646500
oct47512061110
914654400718
105321024072
112290641161
121046000408
1366a50ac70
14386988a00
15212219ad2
hex13d286248

5321024072 has 144 divisors (see below), whose sum is σ = 13280691060. Its totient is φ = 1980647424.

The previous prime is 5321024069. The next prime is 5321024087. The reversal of 5321024072 is 2704201235.

It can be written as a sum of positive squares in 6 ways, for example, as 1243690756 + 4077333316 = 35266^2 + 63854^2 .

It is a super-2 number, since 2×53210240722 = 56626594349606922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 35 ways as a sum of consecutive naturals, for example, 1470938 + ... + 1474550.

Almost surely, 25321024072 is an apocalyptic number.

5321024072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5321024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640345530).

5321024072 is an abundant number, since it is smaller than the sum of its proper divisors (7959666988).

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

5321024072 is a wasteful number, since it uses less digits than its factorization.

5321024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5321024072 is about 72945.3498997709. The cubic root of 5321024072 is about 1745.8157527785.

The spelling of 5321024072 in words is "five billion, three hundred twenty-one million, twenty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 289 364 392 442 476 578 637 728 833 884 952 1156 1274 1547 1666 1768 2023 2312 2548 3094 3332 3613 3757 4046 5096 6188 6664 7226 7514 8092 10829 12376 14161 14452 15028 16184 21658 25291 26299 28322 28904 30056 43316 46969 50582 52598 56644 61421 86632 93938 101164 105196 113288 122842 177037 184093 187876 202328 210392 245684 328783 354074 368186 375752 429947 491368 657566 708148 736372 798473 859894 1044157 1315132 1416296 1472744 1596946 1719788 2088314 2301481 2630264 3009629 3193892 3439576 4176628 4602962 5589311 6019258 6387784 7309099 8353256 9205924 11178622 12038516 13574041 14618198 18411848 22357244 24077032 27148082 29236396 39125177 44714488 51163693 54296164 58472792 78250354 95018287 102327386 108592328 156500708 190036574 204654772 313001416 380073148 409309544 665128009 760146296 1330256018 2660512036 5321024072