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3922872768 = 2634756727
BaseRepresentation
bin1110100111010010…
…0100100111000000
3101010101120120210000
43221310210213000
531013223412033
61445132440000
7166132603563
oct35164444700
911111516700
103922872768
1117333a5411
12915919000
134a6958ab9
14292dd84da
1517e5dca13
hexe9d249c0

3922872768 has 70 divisors (see below), whose sum is σ = 11628639176. Its totient is φ = 1307622528.

The previous prime is 3922872749. The next prime is 3922872769. The reversal of 3922872768 is 8672782293.

3922872768 is a `hidden beast` number, since 3 + 92 + 287 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922872769) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 373180 + ... + 383547.

Almost surely, 23922872768 is an apocalyptic number.

It is an amenable number.

3922872768 is an abundant number, since it is smaller than the sum of its proper divisors (7705766408).

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

3922872768 is an equidigital number, since it uses as much as digits as its factorization.

3922872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756751 (or 756732 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3922872768 is about 62632.8409702131. The cubic root of 3922872768 is about 1577.1321110529.

The spelling of 3922872768 in words is "three billion, nine hundred twenty-two million, eight hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 756727 1513454 2270181 3026908 4540362 6053816 6810543 9080724 12107632 13621086 18161448 20431629 24215264 27242172 36322896 40863258 48430528 54484344 61294887 72645792 81726516 108968688 122589774 145291584 163453032 217937376 245179548 326906064 435874752 490359096 653812128 980718192 1307624256 1961436384 3922872768