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5200455936 = 28313618539
BaseRepresentation
bin1001101011111100…
…01010100100000000
3111102102120112102010
410311332022210000
541122304042221
62220011452520
7242605101054
oct46576124400
914372515363
105200455936
112229581575
121011757140
1364b545580
14374961c64
15206850c76
hex135f8a900

5200455936 has 144 divisors (see below), whose sum is σ = 15151599680. Its totient is φ = 1573724160.

The previous prime is 5200455929. The next prime is 5200455937. The reversal of 5200455936 is 6395540025.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5200455894 and 5200455903.

It is not an unprimeable number, because it can be changed into a prime (5200455937) 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, 604755 + ... + 613293.

Almost surely, 25200455936 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 5200455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575799840).

5200455936 is an abundant number, since it is smaller than the sum of its proper divisors (9951143744).

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

5200455936 is a wasteful number, since it uses less digits than its factorization.

5200455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 5200455936 is about 72114.1867873444. The cubic root of 5200455936 is about 1732.5288437652.

The spelling of 5200455936 in words is "five billion, two hundred million, four hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 183 192 208 244 256 312 366 384 416 488 624 732 768 793 832 976 1248 1464 1586 1664 1952 2379 2496 2928 3172 3328 3904 4758 4992 5856 6344 7808 8539 9516 9984 11712 12688 15616 17078 19032 23424 25376 25617 34156 38064 46848 50752 51234 68312 76128 101504 102468 111007 136624 152256 203008 204936 222014 273248 304512 333021 409872 444028 520879 546496 609024 666042 819744 888056 1041758 1092992 1332084 1562637 1639488 1776112 2083516 2185984 2664168 3125274 3278976 3552224 4167032 5328336 6250548 6557952 6771427 7104448 8334064 10656672 12501096 13542854 14208896 16668128 20314281 21313344 25002192 27085708 28417792 33336256 40628562 42626688 50004384 54171416 66672512 81257124 85253376 100008768 108342832 133345024 162514248 200017536 216685664 325028496 400035072 433371328 650056992 866742656 1300113984 1733485312 2600227968 5200455936