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484233480 = 233254728619
BaseRepresentation
bin11100110111001…
…101000100001000
31020202011121110100
4130313031010020
51442430432410
6120014445400
714666626263
oct3467150410
91222147410
10484233480
11229378865
12116203860
13794248b3
144844dcda
152c7a18c0
hex1cdcd108

484233480 has 96 divisors (see below), whose sum is σ = 1607299200. Its totient is φ = 126377088.

The previous prime is 484233443. The next prime is 484233517. The reversal of 484233480 is 84332484.

It is an interprime number because it is at equal distance from previous prime (484233443) and next prime (484233517).

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

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 23 ways as a sum of consecutive naturals, for example, 2611 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (16742700).

Almost surely, 2484233480 is an apocalyptic number.

484233480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803649600).

484233480 is an abundant number, since it is smaller than the sum of its proper divisors (1123065720).

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

484233480 is a wasteful number, since it uses less digits than its factorization.

484233480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28676 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 484233480 is about 22005.3057238476. The cubic root of 484233480 is about 785.2686707979.

The spelling of 484233480 in words is "four hundred eighty-four million, two hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 28619 57238 85857 114476 143095 171714 228952 257571 286190 343428 429285 515142 572380 686856 858570 1030284 1144760 1287855 1345093 1717140 2060568 2575710 2690186 3434280 4035279 5151420 5380372 6725465 8070558 10302840 10760744 12105837 13450930 16141116 20176395 24211674 26901860 32282232 40352790 48423348 53803720 60529185 80705580 96846696 121058370 161411160 242116740 484233480