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1252298520 = 2332511794003
BaseRepresentation
bin100101010100100…
…1000111100011000
310020021102100121200
41022221020330120
510031042023040
6324133034200
743014235044
oct11251107430
93207370550
101252298520
11592987460
122ab485960
1316c5a5b55
14bc465024
1574e1b630
hex4aa48f18

1252298520 has 192 divisors, whose sum is σ = 4497292800. Its totient is φ = 299669760.

The previous prime is 1252298513. The next prime is 1252298521. The reversal of 1252298520 is 258922521.

1252298520 is a `hidden beast` number, since 1 + 25 + 22 + 98 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252298521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 310839 + ... + 314841.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 21252298520 is an apocalyptic number.

1252298520 is a gapful number since it is divisible by the number (10) 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 1252298520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248646400).

1252298520 is an abundant number, since it is smaller than the sum of its proper divisors (3244994280).

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

1252298520 is a wasteful number, since it uses less digits than its factorization.

1252298520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1252298520 is about 35387.8301114945. The cubic root of 1252298520 is about 1077.8772088881.

The spelling of 1252298520 in words is "one billion, two hundred fifty-two million, two hundred ninety-eight thousand, five hundred twenty".