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796420440 = 233259722807
BaseRepresentation
bin101111011110000…
…110100101011000
32001111121100110100
4233132012211120
53112340423230
6211010015400
725510314324
oct5736064530
92044540410
10796420440
11379616512
121a2877560
13c8ccb7ca
1477ab6984
1549dbb660
hex2f786958

796420440 has 96 divisors (see below), whose sum is σ = 2615165280. Its totient is φ = 210180096.

The previous prime is 796420439. The next prime is 796420459. The reversal of 796420440 is 44024697.

796420440 is a `hidden beast` number, since 7 + 9 + 642 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 796420395 and 796420404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23517 + ... + 46323.

It is an arithmetic number, because the mean of its divisors is an integer number (27241305).

Almost surely, 2796420440 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 796420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307582640).

796420440 is an abundant number, since it is smaller than the sum of its proper divisors (1818744840).

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

796420440 is a wasteful number, since it uses less digits than its factorization.

796420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22921 (or 22914 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 796420440 is about 28220.9220260430. The cubic root of 796420440 is about 926.9311260330.

The spelling of 796420440 in words is "seven hundred ninety-six million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 22807 34920 45614 68421 91228 114035 136842 182456 205263 228070 273684 342105 410526 456140 547368 684210 821052 912280 1026315 1368420 1642104 2052630 2212279 2736840 4105260 4424558 6636837 8210520 8849116 11061395 13273674 17698232 19910511 22122790 26547348 33184185 39821022 44245580 53094696 66368370 79642044 88491160 99552555 132736740 159284088 199105110 265473480 398210220 796420440