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1453676928 = 273111959307
BaseRepresentation
bin101011010100101…
…0101100110000000
310202022100102212020
41112221111212000
510434120130203
6400125201440
751011023104
oct12651254600
93668312766
101453676928
11686620aa0
12346a00280
131a2223682
14db0c5904
1587949153
hex56a55980

1453676928 has 256 divisors, whose sum is σ = 4523904000. Its totient is φ = 408913920.

The previous prime is 1453676923. The next prime is 1453676969. The reversal of 1453676928 is 8296763541.

It is a super-2 number, since 2×14536769282 = 4226353221999034368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453676923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734951 + ... + 4735257.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 21453676928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1453676928 is an abundant number, since it is smaller than the sum of its proper divisors (3070227072).

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

1453676928 is a wasteful number, since it uses less digits than its factorization.

1453676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 1453676928 is about 38127.1153904934. The cubic root of 1453676928 is about 1132.8071091833.

The spelling of 1453676928 in words is "one billion, four hundred fifty-three million, six hundred seventy-six thousand, nine hundred twenty-eight".