Search a number
-
+
7922849004 = 22337211313249
BaseRepresentation
bin1110110000011110…
…10001010011101100
3202110011020102122000
413120033101103230
5112211222132004
63350102052300
7400223051100
oct73017212354
922404212560
107922849004
1133a62727a4
12165141a090
1399356c745
14552343900
1531585ac39
hex1d83d14ec

7922849004 has 144 divisors (see below), whose sum is σ = 24107580000. Its totient is φ = 2243469312.

The previous prime is 7922849003. The next prime is 7922849017. The reversal of 7922849004 is 4009482297.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7922849003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591372 + ... + 604620.

It is an arithmetic number, because the mean of its divisors is an integer number (167413750).

Almost surely, 27922849004 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 7922849004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053790000).

7922849004 is an abundant number, since it is smaller than the sum of its proper divisors (16184730996).

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

7922849004 is a wasteful number, since it uses less digits than its factorization.

7922849004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389 (or 13374 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7922849004 is about 89010.3870567924. The cubic root of 7922849004 is about 1993.5499712596.

The spelling of 7922849004 in words is "seven billion, nine hundred twenty-two million, eight hundred forty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 113 126 147 189 196 226 252 294 339 378 441 452 588 678 756 791 882 1017 1323 1356 1582 1764 2034 2373 2646 3051 3164 4068 4746 5292 5537 6102 7119 9492 11074 12204 13249 14238 16611 21357 22148 26498 28476 33222 39747 42714 49833 52996 66444 79494 85428 92743 99666 119241 149499 158988 185486 199332 238482 278229 298998 357723 370972 476964 556458 597996 649201 715446 834687 1112916 1298402 1430892 1497137 1669374 1947603 2504061 2596804 2994274 3338748 3895206 4491411 5008122 5842809 5988548 7790412 8982822 10016244 10479959 11685618 13474233 17528427 17965644 20959918 23371236 26948466 31439877 35056854 40422699 41919836 53896932 62879754 70113708 73359713 80845398 94319631 125759508 146719426 161690796 188639262 220079139 282958893 293438852 377278524 440158278 565917786 660237417 880316556 1131835572 1320474834 1980712251 2640949668 3961424502 7922849004