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1372738752 = 263471119181
BaseRepresentation
bin101000111010010…
…0101010011000000
310112200001100120000
41101310211103000
510302410120002
6344114320000
746006041540
oct12164452300
93480040500
101372738752
11644969a40
12323889000
1318b525268
14d0457320
15807ac61c
hex51d254c0

1372738752 has 560 divisors, whose sum is σ = 5369844480. Its totient is φ = 335923200.

The previous prime is 1372738727. The next prime is 1372738769. The reversal of 1372738752 is 2578372731.

It is a happy number.

It is a super-3 number, since 3×13727387523 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1372738698 and 1372738707.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7584102 + ... + 7584282.

It is an arithmetic number, because the mean of its divisors is an integer number (9589008).

Almost surely, 21372738752 is an apocalyptic number.

1372738752 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 1372738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684922240).

1372738752 is an abundant number, since it is smaller than the sum of its proper divisors (3997105728).

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

1372738752 is a wasteful number, since it uses less digits than its factorization.

1372738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 1372738752 is about 37050.4892275392. The cubic root of 1372738752 is about 1111.3801386373.

The spelling of 1372738752 in words is "one billion, three hundred seventy-two million, seven hundred thirty-eight thousand, seven hundred fifty-two".