Search a number
-
+
4876451280 = 2432531218479
BaseRepresentation
bin1001000101010100…
…01011110111010000
3110120211220101120200
410202222023313100
534441332420110
62123515135200
7231562103061
oct44252136720
913524811520
104876451280
1120826a2028
12b41144500
135c939163c
14343900568
151d819e6c0
hex122a8bdd0

4876451280 has 120 divisors (see below), whose sum is σ = 16905108480. Its totient is φ = 1258433280.

The previous prime is 4876451273. The next prime is 4876451341. The reversal of 4876451280 is 821546784.

4876451280 is a `hidden beast` number, since 487 + 6 + 45 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86920 + ... + 131559.

It is an arithmetic number, because the mean of its divisors is an integer number (140875904).

Almost surely, 24876451280 is an apocalyptic number.

4876451280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4876451280 is an abundant number, since it is smaller than the sum of its proper divisors (12028657200).

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

4876451280 is a wasteful number, since it uses less digits than its factorization.

4876451280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218529 (or 218520 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4876451280 is about 69831.5922774213. The cubic root of 4876451280 is about 1695.7739645512.

The spelling of 4876451280 in words is "four billion, eight hundred seventy-six million, four hundred fifty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 218479 436958 655437 873916 1092395 1310874 1747832 1966311 2184790 2621748 3277185 3495664 3932622 4369580 5243496 6554370 6772849 7865244 8739160 9831555 10486992 13108740 13545698 15730488 17478320 19663110 20318547 26217480 27091396 31460976 33864245 39326220 40637094 52434960 54182792 60955641 67728490 78652440 81274188 101592735 108365584 121911282 135456980 157304880 162548376 203185470 243822564 270913960 304778205 325096752 406370940 487645128 541827920 609556410 812741880 975290256 1219112820 1625483760 2438225640 4876451280