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5220351504 = 24382232
BaseRepresentation
bin1001101110010100…
…00011111000010000
3111110211000100000000
410313022003320100
541142402222004
62222002130000
7243236153454
oct46712037020
914424010000
105220351504
112239830395
121018350900
136526c02b4
14377460664
15208480c39
hex137283e10

5220351504 has 135 divisors (see below), whose sum is σ = 15239211663. Its totient is φ = 1732313952.

The previous prime is 5220351491. The next prime is 5220351569. The reversal of 5220351504 is 4051530225.

It is a happy number.

The square root of 5220351504 is 72252.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23409537 + ... + 23409759.

Almost surely, 25220351504 is an apocalyptic number.

5220351504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5220351504 is the 72252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5220351504

5220351504 is an abundant number, since it is smaller than the sum of its proper divisors (10018860159).

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

5220351504 is an frugal number, since it uses more digits than its factorization.

5220351504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The cubic root of 5220351504 is about 1734.7354311484.

Adding to 5220351504 its reverse (4051530225), we get a palindrome (9271881729).

The spelling of 5220351504 in words is "five billion, two hundred twenty million, three hundred fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 223 243 324 432 446 486 648 669 729 892 972 1296 1338 1458 1784 1944 2007 2187 2676 2916 3568 3888 4014 4374 5352 5832 6021 6561 8028 8748 10704 11664 12042 13122 16056 17496 18063 24084 26244 32112 34992 36126 48168 49729 52488 54189 72252 96336 99458 104976 108378 144504 149187 162567 198916 216756 289008 298374 325134 397832 433512 447561 487701 596748 650268 795664 867024 895122 975402 1193496 1300536 1342683 1463103 1790244 1950804 2386992 2601072 2685366 2926206 3580488 3901608 4028049 5370732 5852412 7160976 7803216 8056098 10741464 11704824 12084147 16112196 21482928 23409648 24168294 32224392 36252441 48336588 64448784 72504882 96673176 108757323 145009764 193346352 217514646 290019528 326271969 435029292 580039056 652543938 870058584 1305087876 1740117168 2610175752 5220351504