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6025942440 = 2332573177137
BaseRepresentation
bin1011001110010110…
…01001010110101000
3120112221212121000100
411213023021112220
544320120124230
62433540505400
7302220444210
oct54713112650
916487777010
106025942440
11261253a821
1212020ab260
1375057cc1b
14412443240
1525405e660
hex1672c95a8

6025942440 has 192 divisors, whose sum is σ = 23104373760. Its totient is φ = 1332910080.

The previous prime is 6025942421. The next prime is 6025942441. The reversal of 6025942440 is 442495206.

6025942440 is a `hidden beast` number, since 6 + 0 + 2 + 594 + 24 + 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 = 6025942395 and 6025942404.

It is not an unprimeable number, because it can be changed into a prime (6025942441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39552 + ... + 116688.

It is an arithmetic number, because the mean of its divisors is an integer number (120335280).

Almost surely, 26025942440 is an apocalyptic number.

6025942440 is a gapful number since it is divisible by the number (60) 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 6025942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552186880).

6025942440 is an abundant number, since it is smaller than the sum of its proper divisors (17078431320).

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

6025942440 is a wasteful number, since it uses less digits than its factorization.

6025942440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77192 (or 77185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6025942440 is about 77626.9440336279. The cubic root of 6025942440 is about 1819.7357463618.

The spelling of 6025942440 in words is "six billion, twenty-five million, nine hundred forty-two thousand, four hundred forty".