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4022904004 = 2271743119609
BaseRepresentation
bin1110111111001000…
…1010010011000100
3101101100210200211121
43233302022103010
531214330412004
61503104443324
7201456056050
oct35762122304
911340720747
104022904004
111784908359
12943319544
134c15b0892
142a23d6c60
1518829b854
hexefc8a4c4

4022904004 has 48 divisors (see below), whose sum is σ = 8539292160. Its totient is φ = 1618836480.

The previous prime is 4022903977. The next prime is 4022904023. The reversal of 4022904004 is 4004092204.

4022904004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4022904004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195352 + ... + 214960.

It is an arithmetic number, because the mean of its divisors is an integer number (177901920).

Almost surely, 24022904004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022904004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269646080).

4022904004 is an abundant number, since it is smaller than the sum of its proper divisors (4516388156).

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

4022904004 is a wasteful number, since it uses less digits than its factorization.

4022904004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4022904004 is about 63426.3667885841. The cubic root of 4022904004 is about 1590.4251073806.

Adding to 4022904004 its reverse (4004092204), we get a palindrome (8026996208).

The spelling of 4022904004 in words is "four billion, twenty-two million, nine hundred four thousand, four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 431 476 862 1724 3017 6034 7327 12068 14654 19609 29308 39218 51289 78436 102578 137263 205156 274526 333353 549052 666706 1333412 2333471 4666942 8451479 9333884 16902958 33805916 59160353 118320706 143675143 236641412 287350286 574700572 1005726001 2011452002 4022904004