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4025345280 = 283511233409
BaseRepresentation
bin1110111111101101…
…1110010100000000
3101101112101201122020
43233323132110000
531220442022110
61503233041440
7201515604345
oct35773362400
911345351566
104025345280
111786225540
129440b6280
134c1c56b18
142a28707cc
151885ced70
hexefede500

4025345280 has 288 divisors, whose sum is σ = 14119297920. Its totient is φ = 969277440.

The previous prime is 4025345249. The next prime is 4025345281. The reversal of 4025345280 is 825435204.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025345281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9841716 + ... + 9842124.

It is an arithmetic number, because the mean of its divisors is an integer number (49025340).

Almost surely, 24025345280 is an apocalyptic number.

4025345280 is a gapful number since it is divisible by the number (40) 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 4025345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059648960).

4025345280 is an abundant number, since it is smaller than the sum of its proper divisors (10093952640).

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

4025345280 is a wasteful number, since it uses less digits than its factorization.

4025345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 4025345280 is about 63445.6088315023. The cubic root of 4025345280 is about 1590.7467557482.

The spelling of 4025345280 in words is "four billion, twenty-five million, three hundred forty-five thousand, two hundred eighty".