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1244393472 = 21237172337
BaseRepresentation
bin100101000101011…
…1111000000000000
310012201112201221010
41022022333000000
510022031042342
6323251400520
742560112210
oct11212770000
93181481833
101244393472
11589478263
122a88b3140
1316aa689ca
14bb3a8240
15743a929c
hex4a2bf000

1244393472 has 416 divisors, whose sum is σ = 4302830592. Its totient is φ = 311427072.

The previous prime is 1244393471. The next prime is 1244393477. The reversal of 1244393472 is 2743934421.

It is a super-2 number, since 2×12443934722 = 3097030226312429568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1244393472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244393471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33632238 + ... + 33632274.

Almost surely, 21244393472 is an apocalyptic number.

1244393472 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 1244393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151415296).

1244393472 is an abundant number, since it is smaller than the sum of its proper divisors (3058437120).

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

1244393472 is a wasteful number, since it uses less digits than its factorization.

1244393472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 1244393472 is about 35275.9616736383. The cubic root of 1244393472 is about 1075.6044113631.

It can be divided in two parts, 1244 and 393472, that added together give a triangular number (394716 = T888).

The spelling of 1244393472 in words is "one billion, two hundred forty-four million, three hundred ninety-three thousand, four hundred seventy-two".