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5524252000 = 25531781239
BaseRepresentation
bin1010010010100010…
…10110010101100000
3112020222212002002221
411021101112111200
542303202031000
62312055520424
7253616236651
oct51121262540
915228762087
105524252000
112385329323
1210a2089114
136a0655587
143a596b528
15224eb061a
hex149456560

5524252000 has 96 divisors (see below), whose sum is σ = 14371680960. Its totient is φ = 2079692800.

The previous prime is 5524251991. The next prime is 5524252037. The reversal of 5524252000 is 2524255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 27381 + ... + 108619.

It is an arithmetic number, because the mean of its divisors is an integer number (149705010).

Almost surely, 25524252000 is an apocalyptic number.

5524252000 is a gapful number since it is divisible by the number (50) 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 5524252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185840480).

5524252000 is an abundant number, since it is smaller than the sum of its proper divisors (8847428960).

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

5524252000 is a wasteful number, since it uses less digits than its factorization.

5524252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81281 (or 81263 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 5524252000 is about 74325.3119737819. The cubic root of 5524252000 is about 1767.7648486417.

Adding to 5524252000 its reverse (2524255), we get a palindrome (5526776255).

The spelling of 5524252000 in words is "five billion, five hundred twenty-four million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 81239 162478 324956 406195 649912 812390 1299824 1381063 1624780 2030975 2599648 2762126 3249560 4061950 5524252 6499120 6905315 8123900 10154875 11048504 12998240 13810630 16247800 20309750 22097008 27621260 32495600 34526575 40619500 44194016 55242520 64991200 69053150 81239000 110485040 138106300 162478000 172632875 220970080 276212600 324956000 345265750 552425200 690531500 1104850400 1381063000 2762126000 5524252000