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797432040 = 23345246121
BaseRepresentation
bin101111100001111…
…101100011101000
32001120111202010000
4233201331203220
53113120311130
6211043423000
725522026516
oct5741754350
92046452100
10797432040
1137a147549
121a3084a60
13c92940a2
1477c9b4b6
154a01b260
hex2f87d8e8

797432040 has 80 divisors (see below), whose sum is σ = 2680268580. Its totient is φ = 212647680.

The previous prime is 797432021. The next prime is 797432047. The reversal of 797432040 is 40234797.

It can be written as a sum of positive squares in 2 ways, for example, as 663474564 + 133957476 = 25758^2 + 11574^2 .

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 = 797431986 and 797432004.

It is not an unprimeable number, because it can be changed into a prime (797432047) 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 19 ways as a sum of consecutive naturals, for example, 119821 + ... + 126300.

Almost surely, 2797432040 is an apocalyptic number.

It is an amenable number.

797432040 is an abundant number, since it is smaller than the sum of its proper divisors (1882836540).

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

797432040 is a wasteful number, since it uses less digits than its factorization.

797432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246144 (or 246131 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 797432040 is about 28238.8392112707. The cubic root of 797432040 is about 927.3234174869.

The spelling of 797432040 in words is "seven hundred ninety-seven million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 246121 492242 738363 984484 1230605 1476726 1968968 2215089 2461210 2953452 3691815 4430178 4922420 5906904 6645267 7383630 8860356 9844840 11075445 13290534 14767260 17720712 19935801 22150890 26581068 29534520 33226335 39871602 44301780 53162136 66452670 79743204 88603560 99679005 132905340 159486408 199358010 265810680 398716020 797432040