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4838918480 = 24511192312583
BaseRepresentation
bin1001000000110110…
…00000100101010000
3110111020021112020222
410200123000211100
534402230342410
62120054452212
7230625062024
oct44033004520
913436245228
104838918480
112063497090
12b30664068
135c167ca96
1433c930384
151d4c38955
hex1206c0950

4838918480 has 160 divisors (see below), whose sum is σ = 13481994240. Its totient is φ = 1594391040.

The previous prime is 4838918449. The next prime is 4838918521. The reversal of 4838918480 is 848198384.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378269 + ... + 390851.

It is an arithmetic number, because the mean of its divisors is an integer number (84262464).

Almost surely, 24838918480 is an apocalyptic number.

4838918480 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 4838918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740997120).

4838918480 is an abundant number, since it is smaller than the sum of its proper divisors (8643075760).

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

4838918480 is a wasteful number, since it uses less digits than its factorization.

4838918480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The square root of 4838918480 is about 69562.3352109459. The cubic root of 4838918480 is about 1691.4121082772.

The spelling of 4838918480 in words is "four billion, eight hundred thirty-eight million, nine hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 38 40 44 46 55 76 80 88 92 95 110 115 152 176 184 190 209 220 230 253 304 368 380 418 437 440 460 506 760 836 874 880 920 1012 1045 1265 1520 1672 1748 1840 2024 2090 2185 2530 3344 3496 4048 4180 4370 4807 5060 6992 8360 8740 9614 10120 12583 16720 17480 19228 20240 24035 25166 34960 38456 48070 50332 62915 76912 96140 100664 125830 138413 192280 201328 239077 251660 276826 289409 384560 478154 503320 553652 578818 692065 956308 1006640 1107304 1157636 1195385 1384130 1447045 1912616 2214608 2315272 2390770 2629847 2768260 2894090 3183499 3825232 4630544 4781540 5259694 5498771 5536520 5788180 6366998 9563080 10519388 10997542 11073040 11576360 12733996 13149235 15917495 19126160 21038776 21995084 23152720 25467992 26298470 27493855 31834990 42077552 43990168 50935984 52596940 54987710 60486481 63669980 87980336 105193880 109975420 120972962 127339960 210387760 219950840 241945924 254679920 302432405 439901680 483891848 604864810 967783696 1209729620 2419459240 4838918480