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2393625240 = 2332510364553
BaseRepresentation
bin1000111010101011…
…1101001010011000
320011211000202112200
42032222331022120
514400232001430
61033303410200
7113213323146
oct21652751230
96154022480
102393625240
111019159086
12569753960
132c1b961c6
14189c80596
15e0217460
hex8eabd298

2393625240 has 96 divisors (see below), whose sum is σ = 7854930720. Its totient is φ = 632093184.

The previous prime is 2393625239. The next prime is 2393625277. The reversal of 2393625240 is 425263932.

It is a happy number.

2393625240 is a `hidden beast` number, since 2 + 3 + 9 + 3 + 625 + 24 + 0 = 666.

2393625240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2393625195 and 2393625204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4804 + ... + 69356.

It is an arithmetic number, because the mean of its divisors is an integer number (81822195).

Almost surely, 22393625240 is an apocalyptic number.

2393625240 is a gapful number since it is divisible by the number (20) 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 2393625240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927465360).

2393625240 is an abundant number, since it is smaller than the sum of its proper divisors (5461305480).

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

2393625240 is a wasteful number, since it uses less digits than its factorization.

2393625240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64673 (or 64666 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2393625240 is about 48924.6894726988. The cubic root of 2393625240 is about 1337.6794395174.

The spelling of 2393625240 in words is "two billion, three hundred ninety-three million, six hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 64553 129106 193659 258212 322765 387318 516424 580977 645530 774636 968295 1161954 1291060 1549272 1936590 2323908 2582120 2904885 3873180 4647816 5809770 6648959 7746360 11619540 13297918 19946877 23239080 26595836 33244795 39893754 53191672 59840631 66489590 79787508 99734385 119681262 132979180 159575016 199468770 239362524 265958360 299203155 398937540 478725048 598406310 797875080 1196812620 2393625240