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1472365440 = 27325713532
BaseRepresentation
bin101011111000010…
…1000001110000000
310210121111220200100
41113300220032000
511003411143230
6402033522400
751325620420
oct12760501600
93717456610
101472365440
11696125a47
12351113400
131a6067b70
14dd78c480
15893db660
hex57c28380

1472365440 has 576 divisors, whose sum is σ = 6377847840. Its totient is φ = 304791552.

The previous prime is 1472365399. The next prime is 1472365481. The reversal of 1472365440 is 445632741.

1472365440 is a `hidden beast` number, since 14 + 72 + 36 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1472365399) and next prime (1472365481).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1472365395 and 1472365404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27780454 + ... + 27780506.

Almost surely, 21472365440 is an apocalyptic number.

1472365440 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 1472365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188923920).

1472365440 is an abundant number, since it is smaller than the sum of its proper divisors (4905482400).

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

1472365440 is a wasteful number, since it uses less digits than its factorization.

1472365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1472365440 is about 38371.4143601718. The cubic root of 1472365440 is about 1137.6409202702.

The spelling of 1472365440 in words is "one billion, four hundred seventy-two million, three hundred sixty-five thousand, four hundred forty".