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4871414560 = 255196723917
BaseRepresentation
bin1001000100101101…
…11110001100100000
3110120111102111111111
410202112332030200
534434040231220
62123215153104
7231501224545
oct44226761440
913514374444
104871414560
11207a871951
12b3b515794
135c8319c2c
14342d8cbcc
151d7a0715a
hex1225be320

4871414560 has 96 divisors (see below), whose sum is σ = 12295765440. Its totient is φ = 1818381312.

The previous prime is 4871414543. The next prime is 4871414563. The reversal of 4871414560 is 654141784.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4871414563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191722 + ... + 215638.

It is an arithmetic number, because the mean of its divisors is an integer number (128080890).

Almost surely, 24871414560 is an apocalyptic number.

4871414560 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 4871414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147882720).

4871414560 is an abundant number, since it is smaller than the sum of its proper divisors (7424350880).

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

4871414560 is a wasteful number, since it uses less digits than its factorization.

4871414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24018 (or 24010 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 4871414560 is about 69795.5196269789. The cubic root of 4871414560 is about 1695.1899277549.

The spelling of 4871414560 in words is "four billion, eight hundred seventy-one million, four hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 134 152 160 190 268 304 335 380 536 608 670 760 1072 1273 1340 1520 2144 2546 2680 3040 5092 5360 6365 10184 10720 12730 20368 23917 25460 40736 47834 50920 95668 101840 119585 191336 203680 239170 382672 454423 478340 765344 908846 956680 1602439 1817692 1913360 2272115 3204878 3635384 3826720 4544230 6409756 7270768 8012195 9088460 12819512 14541536 16024390 18176920 25639024 30446341 32048780 36353840 51278048 60892682 64097560 72707680 121785364 128195120 152231705 243570728 256390240 304463410 487141456 608926820 974282912 1217853640 2435707280 4871414560