Search a number
-
+
797007168 = 2633835557
BaseRepresentation
bin101111100000010…
…101110101000000
32001112201011022000
4233200111311000
53113013212133
6211030344000
725515310026
oct5740256500
92045634260
10797007168
11379987311
121a2abb000
13c9175899
1477bca716
1549e85413
hex2f815d40

797007168 has 112 divisors (see below), whose sum is σ = 2371709760. Its totient is φ = 262420992.

The previous prime is 797007137. The next prime is 797007181. The reversal of 797007168 is 861700797.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140646 + ... + 146202.

It is an arithmetic number, because the mean of its divisors is an integer number (21175980).

Almost surely, 2797007168 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 797007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185854880).

797007168 is an abundant number, since it is smaller than the sum of its proper divisors (1574702592).

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

797007168 is a wasteful number, since it uses less digits than its factorization.

797007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 797007168 is about 28231.3153784941. The cubic root of 797007168 is about 927.1586955088.

It can be divided in two parts, 79700 and 7168, that added together give a palindrome (86868).

The spelling of 797007168 in words is "seven hundred ninety-seven million, seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5557 5976 7968 8964 11114 11952 15936 16671 17928 22228 23904 33342 35856 44456 47808 50013 66684 71712 88912 100026 133368 143424 150039 177824 200052 266736 300078 355648 400104 461231 533472 600156 800208 922462 1066944 1200312 1383693 1600416 1844924 2400624 2767386 3200832 3689848 4151079 4801248 5534772 7379696 8302158 9602496 11069544 12453237 14759392 16604316 22139088 24906474 29518784 33208632 44278176 49812948 66417264 88556352 99625896 132834528 199251792 265669056 398503584 797007168