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2025843456 = 283721341101
BaseRepresentation
bin111100010111111…
…1110101100000000
312020011222111210010
41320233332230000
513122103442311
6533004504520
7101126246100
oct17057765400
95204874703
102025843456
1194a59919a
1248654b140
13263925450
141530a5200
15bccb9da6
hex78bfeb00

2025843456 has 432 divisors, whose sum is σ = 6987683808. Its totient is φ = 516096000.

The previous prime is 2025843451. The next prime is 2025843467. The reversal of 2025843456 is 6543485202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2025843451) 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 47 ways as a sum of consecutive naturals, for example, 20057806 + ... + 20057906.

It is an arithmetic number, because the mean of its divisors is an integer number (16175194).

Almost surely, 22025843456 is an apocalyptic number.

2025843456 is a gapful number since it is divisible by the number (26) 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 2025843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493841904).

2025843456 is an abundant number, since it is smaller than the sum of its proper divisors (4961840352).

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

2025843456 is a wasteful number, since it uses less digits than its factorization.

2025843456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 2025843456 is about 45009.3707576545. The cubic root of 2025843456 is about 1265.3246274820.

The spelling of 2025843456 in words is "two billion, twenty-five million, eight hundred forty-three thousand, four hundred fifty-six".