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484918650 = 23552107373
BaseRepresentation
bin11100111001110…
…100010101111010
31020210110102100000
4130321310111322
51443114344100
6120041253430
715005511666
oct3471642572
91223412300
10484918650
112297a6617
12116494276
1379604718
144858b8a6
152c889900
hex1ce7457a

484918650 has 144 divisors (see below), whose sum is σ = 1367349984. Its totient is φ = 127759680.

The previous prime is 484918649. The next prime is 484918661. The reversal of 484918650 is 56819484.

484918650 is a `hidden beast` number, since 484 + 91 + 86 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 484918596 and 484918605.

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 71 ways as a sum of consecutive naturals, for example, 1299864 + ... + 1300236.

It is an arithmetic number, because the mean of its divisors is an integer number (9495486).

Almost surely, 2484918650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484918650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683674992).

484918650 is an abundant number, since it is smaller than the sum of its proper divisors (882431334).

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

484918650 is a wasteful number, since it uses less digits than its factorization.

484918650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 484918650 is about 22020.8685114825. The cubic root of 484918650 is about 785.6388702901.

The spelling of 484918650 in words is "four hundred eighty-four million, nine hundred eighteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 107 135 150 162 214 225 243 270 321 373 405 450 486 535 642 675 746 810 963 1070 1119 1215 1350 1605 1865 1926 2025 2238 2430 2675 2889 3210 3357 3730 4050 4815 5350 5595 5778 6075 6714 8025 8667 9325 9630 10071 11190 12150 14445 16050 16785 17334 18650 20142 24075 26001 27975 28890 30213 33570 39911 43335 48150 50355 52002 55950 60426 72225 79822 83925 86670 90639 100710 119733 130005 144450 151065 167850 181278 199555 216675 239466 251775 260010 302130 359199 399110 433350 453195 503550 598665 650025 718398 755325 906390 997775 1077597 1197330 1300050 1510650 1795995 1995550 2155194 2265975 2993325 3232791 3591990 4531950 5387985 5986650 6465582 8979975 9698373 10775970 16163955 17959950 19396746 26939925 32327910 48491865 53879850 80819775 96983730 161639550 242459325 484918650