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4092248864 = 251112791541
BaseRepresentation
bin1111001111101010…
…1100001100100000
3101120012021210002202
43303322230030200
531340103430424
61514023032332
7203260353464
oct36372541440
911505253082
104092248864
11180aa71160
1296259b6a8
13502a80142
142ab6c84a4
1518e3e82ae
hexf3eac320

4092248864 has 48 divisors (see below), whose sum is σ = 8858336256. Its totient is φ = 1845446400.

The previous prime is 4092248777. The next prime is 4092248873. The reversal of 4092248864 is 4688422904.

It is a happy number.

4092248864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067 + ... + 90474.

It is an arithmetic number, because the mean of its divisors is an integer number (184548672).

Almost surely, 24092248864 is an apocalyptic number.

4092248864 is a gapful number since it is divisible by the number (44) 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 4092248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429168128).

4092248864 is an abundant number, since it is smaller than the sum of its proper divisors (4766087392).

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

4092248864 is a wasteful number, since it uses less digits than its factorization.

4092248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91689 (or 91681 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 4092248864 is about 63970.6875373401. The cubic root of 4092248864 is about 1599.5114216555.

The spelling of 4092248864 in words is "four billion, ninety-two million, two hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 11176 22352 44704 91541 183082 366164 732328 1006951 1464656 2013902 2929312 4027804 8055608 11625707 16111216 23251414 32222432 46502828 93005656 127882777 186011312 255765554 372022624 511531108 1023062216 2046124432 4092248864