Search a number
-
+
484792020 = 223351277069
BaseRepresentation
bin11100111001010…
…101011011010100
31020210012222122000
4130321111123110
51443101321040
6120034435300
715004443546
oct3471253324
91223188560
10484792020
1122971a469
12116432b30
137958bbab
1448557696
152c862130
hex1ce556d4

484792020 has 96 divisors (see below), whose sum is σ = 1520332800. Its totient is φ = 128241792.

The previous prime is 484792013. The next prime is 484792027. The reversal of 484792020 is 20297484.

It is an interprime number because it is at equal distance from previous prime (484792013) and next prime (484792027).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484792027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65046 + ... + 72114.

It is an arithmetic number, because the mean of its divisors is an integer number (15836800).

Almost surely, 2484792020 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 484792020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760166400).

484792020 is an abundant number, since it is smaller than the sum of its proper divisors (1035540780).

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

484792020 is a wasteful number, since it uses less digits than its factorization.

484792020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 484792020 is about 22017.9930965563. The cubic root of 484792020 is about 785.5704779862.

The spelling of 484792020 in words is "four hundred eighty-four million, seven hundred ninety-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5715 6858 7069 7620 11430 13716 14138 17145 21207 22860 28276 34290 35345 42414 63621 68580 70690 84828 106035 127242 141380 190863 212070 254484 318105 381726 424140 636210 763452 897763 954315 1272420 1795526 1908630 2693289 3591052 3817260 4488815 5386578 8079867 8977630 10773156 13466445 16159734 17955260 24239601 26932890 32319468 40399335 48479202 53865780 80798670 96958404 121198005 161597340 242396010 484792020