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5205252052 = 2271121329091
BaseRepresentation
bin1001101100100000…
…11101011111010100
3111102202121012110001
410312100131133110
541130021031202
62220302341044
7242663624650
oct46620353724
914382535401
105205252052
112231257a00
12101328a784
1364c534600
1437544da60
15206e9bd87
hex13641d7d4

5205252052 has 108 divisors (see below), whose sum is σ = 12392250528. Its totient is φ = 1871812800.

The previous prime is 5205252023. The next prime is 5205252053. The reversal of 5205252052 is 2502525025.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5205252052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205252053) 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 35 ways as a sum of consecutive naturals, for example, 568027 + ... + 577117.

Almost surely, 25205252052 is an apocalyptic number.

5205252052 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 5205252052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196125264).

5205252052 is an abundant number, since it is smaller than the sum of its proper divisors (7186998476).

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

5205252052 is a wasteful number, since it uses less digits than its factorization.

5205252052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 5205252052 is about 72147.4327471186. The cubic root of 5205252052 is about 1733.0612878604.

Adding to 5205252052 its reverse (2502525025), we get a palindrome (7707777077).

The spelling of 5205252052 in words is "five billion, two hundred five million, two hundred fifty-two thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 169 182 242 286 308 338 364 484 572 676 847 1001 1183 1573 1694 1859 2002 2366 3146 3388 3718 4004 4732 6292 7436 9091 11011 13013 18182 20449 22022 26026 36364 40898 44044 52052 63637 81796 100001 118183 127274 143143 200002 236366 254548 286286 400004 472732 572572 700007 827281 1100011 1300013 1400014 1536379 1654562 2200022 2600026 2800028 3072758 3309124 4400044 5200052 6145516 7700077 9100091 10754653 14300143 15400154 16900169 18200182 21509306 28600286 30800308 33800338 36400364 43018612 57200572 67600676 100101001 118301183 185901859 200202002 236602366 371803718 400404004 473204732 743607436 1301313013 2602626026 5205252052