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1252474272 = 253372937193
BaseRepresentation
bin100101010100111…
…0011110110100000
310020021202021201000
41022221303312200
510031113134042
6324140512000
743015566330
oct11251636640
93207667630
101252474272
11592a97505
122ab54b600
1316c637b4a
14bc4ad0c0
1574e5374c
hex4aa73da0

1252474272 has 384 divisors, whose sum is σ = 4458585600. Its totient is φ = 334430208.

The previous prime is 1252474261. The next prime is 1252474297. The reversal of 1252474272 is 2724742521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6489408 + ... + 6489600.

It is an arithmetic number, because the mean of its divisors is an integer number (11610900).

Almost surely, 21252474272 is an apocalyptic number.

1252474272 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 1252474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229292800).

1252474272 is an abundant number, since it is smaller than the sum of its proper divisors (3206111328).

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

1252474272 is a wasteful number, since it uses less digits than its factorization.

1252474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 1252474272 is about 35390.3132509448. The cubic root of 1252474272 is about 1077.9276308950.

The spelling of 1252474272 in words is "one billion, two hundred fifty-two million, four hundred seventy-four thousand, two hundred seventy-two".