Search a number
-
+
797948920 = 235295312979
BaseRepresentation
bin101111100011111…
…011101111111000
32001121111000010201
4233203323233320
53113233331140
6211102451544
725526311456
oct5743735770
92047430121
10797948920
1137a46a91a
121a3293bb4
13c9415432
1477d939d6
154a0be49a
hex2f8fbbf8

797948920 has 64 divisors (see below), whose sum is σ = 1892484000. Its totient is φ = 302335488.

The previous prime is 797948917. The next prime is 797948927. The reversal of 797948920 is 29849797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797948927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54991 + ... + 67969.

Almost surely, 2797948920 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 797948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946242000).

797948920 is an abundant number, since it is smaller than the sum of its proper divisors (1094535080).

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

797948920 is a wasteful number, since it uses less digits than its factorization.

797948920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The square root of 797948920 is about 28247.9896629831. The cubic root of 797948920 is about 927.5237319046.

The spelling of 797948920 in words is "seven hundred ninety-seven million, nine hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 12979 15370 25958 30740 51916 61480 64895 103832 129790 259580 376391 519160 687887 752782 1375774 1505564 1881955 2751548 3011128 3439435 3763910 5503096 6878870 7527820 13757740 15055640 19948723 27515480 39897446 79794892 99743615 159589784 199487230 398974460 797948920