Search a number
-
+
790084372 = 2271119791709
BaseRepresentation
bin101111000101111…
…011101100010100
32001001200110000011
4233011323230110
53104230144442
6210222130004
725402414660
oct5705735424
92031613004
10790084372
11375a890a0
121a0720904
13c78c085c
1476d078a0
1549569117
hex2f17bb14

790084372 has 96 divisors (see below), whose sum is σ = 1838592000. Its totient is φ = 287763840.

The previous prime is 790084363. The next prime is 790084403. The reversal of 790084372 is 273480097.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 461454 + ... + 463162.

It is an arithmetic number, because the mean of its divisors is an integer number (19152000).

Almost surely, 2790084372 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 790084372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

790084372 is an abundant number, since it is smaller than the sum of its proper divisors (1048507628).

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

790084372 is a wasteful number, since it uses less digits than its factorization.

790084372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 790084372 is about 28108.4395155619. The cubic root of 790084372 is about 924.4664552004.

The spelling of 790084372 in words is "seven hundred ninety million, eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 79 133 154 158 209 266 308 316 418 532 553 836 869 1106 1463 1501 1709 1738 2212 2926 3002 3418 3476 5852 6004 6083 6836 10507 11963 12166 16511 18799 21014 23926 24332 32471 33022 37598 42028 47852 64942 66044 75196 115577 129884 131593 135011 227297 231154 263186 270022 357181 454594 462308 526372 540044 714362 909188 945077 1428724 1485121 1890154 2500267 2565209 2970242 3780308 5000534 5130418 5940484 10001068 10260836 10395847 17956463 20791694 28217299 35912926 41583388 56434598 71825852 112869196 197521093 395042186 790084372