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4092772904 = 23112310120021
BaseRepresentation
bin1111001111110010…
…1100001000101000
3101120020021101221122
43303330230020220
531340222213104
61514042154412
7203264665343
oct36374541050
911506241848
104092772904
111810299950
129627b2a08
13502c0481c
142ab7c345a
1518e49d6be
hexf3f2c228

4092772904 has 64 divisors (see below), whose sum is σ = 8822494080. Its totient is φ = 1761760000.

The previous prime is 4092772903. The next prime is 4092772939.

4092772904 is nontrivially palindromic in base 10.

4092772904 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 (44).

It is not an unprimeable number, because it can be changed into a prime (4092772903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194414 + ... + 214434.

It is an arithmetic number, because the mean of its divisors is an integer number (137851470).

Almost surely, 24092772904 is an apocalyptic number.

4092772904 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 4092772904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411247040).

4092772904 is an abundant number, since it is smaller than the sum of its proper divisors (4729721176).

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

4092772904 is a wasteful number, since it uses less digits than its factorization.

4092772904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20162 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 4092772904 is about 63974.7833446898. The cubic root of 4092772904 is about 1599.5796948077.

The spelling of 4092772904 in words is "four billion, ninety-two million, seven hundred seventy-two thousand, nine hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 101 184 202 253 404 506 808 1012 1111 2024 2222 2323 4444 4646 8888 9292 18584 20021 25553 40042 51106 80084 102212 160168 204424 220231 440462 460483 880924 920966 1761848 1841932 2022121 3683864 4044242 5065313 8088484 10130626 16176968 20261252 22243331 40522504 44486662 46508783 88973324 93017566 177946648 186035132 372070264 511596613 1023193226 2046386452 4092772904