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5200022560 = 255179719709
BaseRepresentation
bin1001101011111001…
…00000110000100000
3111102101202111221011
410311330200300200
541122201210220
62215554310304
7242601314425
oct46574406040
914371674834
105200022560
112229305a07
121011588394
1364b423235
1437488bd4c
152067b765a
hex135f20c20

5200022560 has 96 divisors (see below), whose sum is σ = 13142470320. Its totient is φ = 1937375232.

The previous prime is 5200022557. The next prime is 5200022573. The reversal of 5200022560 is 652200025.

It can be written as a sum of positive squares in 8 ways, for example, as 2894870416 + 2305152144 = 53804^2 + 48012^2 .

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 15 ways as a sum of consecutive naturals, for example, 253986 + ... + 273694.

Almost surely, 25200022560 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 5200022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571235160).

5200022560 is an abundant number, since it is smaller than the sum of its proper divisors (7942447760).

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

5200022560 is a wasteful number, since it uses less digits than its factorization.

5200022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5200022560 is about 72111.1819345655. The cubic root of 5200022560 is about 1732.4807161082.

Adding to 5200022560 its reverse (652200025), we get a palindrome (5852222585).

The spelling of 5200022560 in words is "five billion, two hundred million, twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 97 136 160 170 194 272 340 388 485 544 680 776 970 1360 1552 1649 1940 2720 3104 3298 3880 6596 7760 8245 13192 15520 16490 19709 26384 32980 39418 52768 65960 78836 98545 131920 157672 197090 263840 315344 335053 394180 630688 670106 788360 1340212 1576720 1675265 1911773 2680424 3153440 3350530 3823546 5360848 6701060 7647092 9558865 10721696 13402120 15294184 19117730 26804240 30588368 32500141 38235460 53608480 61176736 65000282 76470920 130000564 152941840 162500705 260001128 305883680 325001410 520002256 650002820 1040004512 1300005640 2600011280 5200022560