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1457850240 = 2732571119173
BaseRepresentation
bin101011011100101…
…0000011110000000
310202121012110120100
41112321100132000
510441202201430
6400354442400
751061344150
oct12671203600
93677173510
101457850240
11688a11510
12348293400
131a30550a2
14db890760
1587ec0960
hex56e50780

1457850240 has 768 divisors, whose sum is σ = 6644851200. Its totient is φ = 285327360.

The previous prime is 1457850227. The next prime is 1457850241. The reversal of 1457850240 is 420587541.

1457850240 is a `hidden beast` number, since 1 + 45 + 78 + 502 + 40 = 666.

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 = 1457850195 and 1457850204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457850241) 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 95 ways as a sum of consecutive naturals, for example, 8426794 + ... + 8426966.

It is an arithmetic number, because the mean of its divisors is an integer number (8652150).

Almost surely, 21457850240 is an apocalyptic number.

1457850240 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 1457850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322425600).

1457850240 is an abundant number, since it is smaller than the sum of its proper divisors (5187000960).

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

1457850240 is a wasteful number, since it uses less digits than its factorization.

1457850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

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

The square root of 1457850240 is about 38181.8050909068. The cubic root of 1457850240 is about 1133.8901193422.

The spelling of 1457850240 in words is "one billion, four hundred fifty-seven million, eight hundred fifty thousand, two hundred forty".