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795345460 = 2257213163383
BaseRepresentation
bin101111011010000…
…000001000110100
32001102120201212021
4233122000020310
53112102023320
6210531002524
725465216300
oct5732001064
92042521767
10795345460
11378a518a8
121a2439444
13c8a13420
14778b6d00
1549c57daa
hex2f680234

795345460 has 144 divisors (see below), whose sum is σ = 2110703616. Its totient is φ = 249516288.

The previous prime is 795345449. The next prime is 795345469. The reversal of 795345460 is 64543597.

It is a super-2 number, since 2×7953454602 = 1265148801485223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795345469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076429 + ... + 2076811.

It is an arithmetic number, because the mean of its divisors is an integer number (14657664).

Almost surely, 2795345460 is an apocalyptic number.

795345460 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 795345460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055351808).

795345460 is an abundant number, since it is smaller than the sum of its proper divisors (1315358156).

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

795345460 is a wasteful number, since it uses less digits than its factorization.

795345460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 795345460 is about 28201.8697961678. The cubic root of 795345460 is about 926.5138920258.

The spelling of 795345460 in words is "seven hundred ninety-five million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 163 182 196 245 260 326 364 383 455 490 637 652 766 815 910 980 1141 1274 1532 1630 1820 1915 2119 2282 2548 2681 3185 3260 3830 4238 4564 4979 5362 5705 6370 7660 7987 8476 9958 10595 10724 11410 12740 13405 14833 15974 18767 19916 21190 22820 24895 26810 29666 31948 34853 37534 39935 42380 49790 53620 59332 62429 69706 74165 75068 79870 93835 99580 103831 124858 139412 148330 159740 174265 187670 207662 243971 249716 296660 312145 348530 375340 415324 437003 487942 519155 624290 697060 811577 874006 975884 1038310 1219855 1248580 1623154 1748012 2076620 2185015 2439710 3059021 3246308 4057885 4370030 4879420 5681039 6118042 8115770 8740060 11362078 12236084 15295105 16231540 22724156 28405195 30590210 39767273 56810390 61180420 79534546 113620780 159069092 198836365 397672730 795345460