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5201362432 = 2971785369
BaseRepresentation
bin1001101100000011…
…00111111000000000
3111102111021120220001
410312001213320000
541123022044212
62220043125344
7242615564650
oct46601477000
914374246801
105201362432
11222a040642
121011b13854
1364b7a2066
14374b1a360
1520697e657
hex136067e00

5201362432 has 80 divisors (see below), whose sum is σ = 12576025440. Its totient is φ = 2098003968.

The previous prime is 5201362403. The next prime is 5201362447. The reversal of 5201362432 is 2342631025.

It is a super-2 number, since 2×52013624322 = 54108342298041909248, which contains 22 as substring.

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 5201362432.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18244 + ... + 103612.

It is an arithmetic number, because the mean of its divisors is an integer number (157200318).

Almost surely, 25201362432 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 5201362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288012720).

5201362432 is an abundant number, since it is smaller than the sum of its proper divisors (7374663008).

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

5201362432 is an equidigital number, since it uses as much as digits as its factorization.

5201362432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85411 (or 85395 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 5201362432 is about 72120.4716568049. The cubic root of 5201362432 is about 1732.6295041202.

Adding to 5201362432 its reverse (2342631025), we get a palindrome (7543993457).

The spelling of 5201362432 in words is "five billion, two hundred one million, three hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1088 1792 1904 2176 3584 3808 4352 7616 8704 15232 30464 60928 85369 170738 341476 597583 682952 1195166 1365904 1451273 2390332 2731808 2902546 4780664 5463616 5805092 9561328 10158911 10927232 11610184 19122656 20317822 21854464 23220368 38245312 40635644 43708928 46440736 76490624 81271288 92881472 152981248 162542576 185762944 305962496 325085152 371525888 650170304 743051776 1300340608 2600681216 5201362432