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793991380 = 2257131922961
BaseRepresentation
bin101111010100110…
…101100011010100
32001100000221102011
4233110311203110
53111230211010
6210441554004
725450546450
oct5724654324
92040027364
10793991380
11378207526
121a1aa5904
13c865acb0
1477643660
1549a8ba8a
hex2f5358d4

793991380 has 96 divisors (see below), whose sum is σ = 2160264960. Its totient is φ = 238049280.

The previous prime is 793991353. The next prime is 793991383. The reversal of 793991380 is 83199397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793991383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23100 + ... + 46060.

It is an arithmetic number, because the mean of its divisors is an integer number (22502760).

Almost surely, 2793991380 is an apocalyptic number.

793991380 is a gapful number since it is divisible by the number (70) 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 793991380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080132480).

793991380 is an abundant number, since it is smaller than the sum of its proper divisors (1366273580).

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

793991380 is a wasteful number, since it uses less digits than its factorization.

793991380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23009 (or 23007 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The square root of 793991380 is about 28177.8526506191. The cubic root of 793991380 is about 925.9877950272.

The spelling of 793991380 in words is "seven hundred ninety-three million, nine hundred ninety-one thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 17290 22961 34580 45922 91844 114805 160727 229610 298493 321454 436259 459220 596986 642908 803635 872518 1193972 1492465 1607270 1745036 2089451 2181295 2984930 3053813 3214540 4178902 4362590 5671367 5969860 6107626 8357804 8725180 10447255 11342734 12215252 15269065 20894510 22685468 28356835 30538130 39699569 41789020 56713670 61076260 79399138 113427340 158798276 198497845 396995690 793991380