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799242480 = 243254672377
BaseRepresentation
bin101111101000110…
…111100011110000
32001200220201120100
4233220313203300
53114101224410
6211150312400
725543310001
oct5750674360
92050821510
10799242480
11380173783
121a37b8700
13c977915a
147820d1a8
154a2778c0
hex2fa378f0

799242480 has 120 divisors (see below), whose sum is σ = 2691001872. Its totient is φ = 212585472.

The previous prime is 799242427. The next prime is 799242503. The reversal of 799242480 is 84242997.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 335052 + ... + 337428.

Almost surely, 2799242480 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 799242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345500936).

799242480 is an abundant number, since it is smaller than the sum of its proper divisors (1891759392).

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

799242480 is a wasteful number, since it uses less digits than its factorization.

799242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 799242480 is about 28270.8768877090. The cubic root of 799242480 is about 928.0246661597.

The spelling of 799242480 in words is "seven hundred ninety-nine million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 467 720 934 1401 1868 2335 2377 2802 3736 4203 4670 4754 5604 7005 7131 7472 8406 9340 9508 11208 11885 14010 14262 16812 18680 19016 21015 21393 22416 23770 28020 28524 33624 35655 37360 38032 42030 42786 47540 56040 57048 67248 71310 84060 85572 95080 106965 112080 114096 142620 168120 171144 190160 213930 285240 336240 342288 427860 570480 855720 1110059 1711440 2220118 3330177 4440236 5550295 6660354 8880472 9990531 11100590 13320708 16650885 17760944 19981062 22201180 26641416 33301770 39962124 44402360 49952655 53282832 66603540 79924248 88804720 99905310 133207080 159848496 199810620 266414160 399621240 799242480