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1452725820 = 22335713173747
BaseRepresentation
bin101011010010110…
…1101011000111100
310202020120010012000
41112211231120330
510433344211240
6400052542300
750666652150
oct12645553074
93666503160
101452725820
11686031457
12346621990
131a1c7c7a0
14dad19060
158780c430
hex5696d63c

1452725820 has 768 divisors, whose sum is σ = 6177669120. Its totient is φ = 274710528.

The previous prime is 1452725777. The next prime is 1452725821. The reversal of 1452725820 is 285272541.

It is a happy number.

1452725820 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 72 + 582 + 0 = 666.

It is a super-2 number, since 2×14527258202 = 4220824616189344800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452725821) 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 255 ways as a sum of consecutive naturals, for example, 30909037 + ... + 30909083.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 21452725820 is an apocalyptic number.

1452725820 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 1452725820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088834560).

1452725820 is an abundant number, since it is smaller than the sum of its proper divisors (4724943300).

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

1452725820 is a wasteful number, since it uses less digits than its factorization.

1452725820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1452725820 is about 38114.6404941723. The cubic root of 1452725820 is about 1132.5599985756.

The spelling of 1452725820 in words is "one billion, four hundred fifty-two million, seven hundred twenty-five thousand, eight hundred twenty".