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2640782232 = 23321147611163
BaseRepresentation
bin1001110101100111…
…0010001110011000
320211001002122012100
42131121302032120
520402020012412
61114013043400
7122304164364
oct23531621630
96731078170
102640782232
11113571a860
12618486560
1333115184a
141b0a1a2a4
15106c88edc
hex9d672398

2640782232 has 192 divisors, whose sum is σ = 8105909760. Its totient is φ = 769708800.

The previous prime is 2640782231. The next prime is 2640782267. The reversal of 2640782232 is 2322870462.

It is a happy number.

2640782232 is a `hidden beast` number, since 2 + 640 + 7 + 8 + 2 + 2 + 3 + 2 = 666.

2640782232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640782231) 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, 2270083 + ... + 2271245.

It is an arithmetic number, because the mean of its divisors is an integer number (42218280).

Almost surely, 22640782232 is an apocalyptic number.

2640782232 is a gapful number since it is divisible by the number (22) 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 2640782232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052954880).

2640782232 is an abundant number, since it is smaller than the sum of its proper divisors (5465127528).

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

2640782232 is a wasteful number, since it uses less digits than its factorization.

2640782232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2640782232 is about 51388.5418357050. The cubic root of 2640782232 is about 1382.2211364160.

The spelling of 2640782232 in words is "two billion, six hundred forty million, seven hundred eighty-two thousand, two hundred thirty-two".