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1252279392 = 253713294943
BaseRepresentation
bin100101010100100…
…0100010001100000
310020021101101101020
41022221010101200
510031040420032
6324132405440
743014125220
oct11251042140
93207341336
101252279392
11592974051
122ab476880
1316c59a230
14bc45c080
1574e15b2c
hex4aa44460

1252279392 has 192 divisors, whose sum is σ = 4186183680. Its totient is φ = 318818304.

The previous prime is 1252279387. The next prime is 1252279429. The reversal of 1252279392 is 2939722521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250873 + ... + 255815.

It is an arithmetic number, because the mean of its divisors is an integer number (21803040).

Almost surely, 21252279392 is an apocalyptic number.

1252279392 is a gapful number since it is divisible by the number (12) 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 1252279392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093091840).

1252279392 is an abundant number, since it is smaller than the sum of its proper divisors (2933904288).

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

1252279392 is a wasteful number, since it uses less digits than its factorization.

1252279392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4997 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 1252279392 is about 35387.5598480596. The cubic root of 1252279392 is about 1077.8717209155.

The spelling of 1252279392 in words is "one billion, two hundred fifty-two million, two hundred seventy-nine thousand, three hundred ninety-two".