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1472264040 = 23351323371109
BaseRepresentation
bin101011111000000…
…1111011101101000
310210121022202120210
41113300033131220
511003344422130
6402031421120
751325015662
oct12760173550
93717282523
101472264040
11696066845
123510847a0
131a6030970
14dd763532
15893bb5b0
hex57c0f768

1472264040 has 256 divisors, whose sum is σ = 5102092800. Its totient is φ = 336973824.

The previous prime is 1472264033. The next prime is 1472264041. The reversal of 1472264040 is 404622741.

It is a super-2 number, since 2×14722640402 = 4335122806954243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1472263989 and 1472264007.

It is not an unprimeable number, because it can be changed into a prime (1472264041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327006 + ... + 1328114.

It is an arithmetic number, because the mean of its divisors is an integer number (19930050).

Almost surely, 21472264040 is an apocalyptic number.

1472264040 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 1472264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551046400).

1472264040 is an abundant number, since it is smaller than the sum of its proper divisors (3629828760).

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

1472264040 is a wasteful number, since it uses less digits than its factorization.

1472264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1472264040 is about 38370.0930413258. The cubic root of 1472264040 is about 1137.6148036929.

Adding to 1472264040 its reverse (404622741), we get a palindrome (1876886781).

The spelling of 1472264040 in words is "one billion, four hundred seventy-two million, two hundred sixty-four thousand, forty".