Search a number
-
+
797601792 = 2123134993
BaseRepresentation
bin101111100010100…
…111000000000000
32001120211100222010
4233202213000000
53113141224132
6211051212520
725523334441
oct5742470000
92046740863
10797601792
1137a253039
121a3147140
13c9323430
1477d032c8
154a0516cc
hex2f8a7000

797601792 has 104 divisors (see below), whose sum is σ = 2290727824. Its totient is φ = 245366784.

The previous prime is 797601773. The next prime is 797601793. The reversal of 797601792 is 297106797.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×7976017922 = 1272337237203222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797601793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157248 + ... + 162240.

Almost surely, 2797601792 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 797601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145363912).

797601792 is an abundant number, since it is smaller than the sum of its proper divisors (1493126032).

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

797601792 is a wasteful number, since it uses less digits than its factorization.

797601792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 797601792 is about 28241.8446989569. The cubic root of 797601792 is about 927.3892136209.

The spelling of 797601792 in words is "seven hundred ninety-seven million, six hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 4993 6144 6656 9984 9986 12288 13312 14979 19968 19972 26624 29958 39936 39944 53248 59916 64909 79872 79888 119832 129818 159744 159776 194727 239664 259636 319552 389454 479328 519272 639104 778908 958656 1038544 1278208 1557816 1917312 2077088 2556416 3115632 3834624 4154176 5112832 6231264 7669248 8308352 10225664 12462528 15338496 16616704 20451328 24925056 30676992 33233408 49850112 61353984 66466816 99700224 132933632 199400448 265867264 398800896 797601792