Search a number
-
+
55239856800 = 2535249146877
BaseRepresentation
bin110011011100100011…
…010101001010100000
312021120202112110212020
4303130203111022200
51401112400404200
641213221501440
73663616015122
oct633443251240
9167522473766
1055239856800
1121477506017
12a857871880
1352944cc1cb
1429605cb212
1516848c9ea0
hexcdc8d52a0

55239856800 has 144 divisors (see below), whose sum is σ = 180175780512. Its totient is φ = 14700313600.

The previous prime is 55239856757. The next prime is 55239856823. The reversal of 55239856800 is 865893255.

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, 1154962 + ... + 1201838.

It is an arithmetic number, because the mean of its divisors is an integer number (1251220698).

Almost surely, 255239856800 is an apocalyptic number.

55239856800 is a gapful number since it is divisible by the number (50) 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 55239856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90087890256).

55239856800 is an abundant number, since it is smaller than the sum of its proper divisors (124935923712).

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

55239856800 is a wasteful number, since it uses less digits than its factorization.

55239856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47391 (or 47378 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 55239856800 in words is "fifty-five billion, two hundred thirty-nine million, eight hundred fifty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 491 600 800 982 1200 1473 1964 2400 2455 2946 3928 4910 5892 7365 7856 9820 11784 12275 14730 15712 19640 23568 24550 29460 36825 39280 46877 47136 49100 58920 73650 78560 93754 98200 117840 140631 147300 187508 196400 234385 235680 281262 294600 375016 392800 468770 562524 589200 703155 750032 937540 1125048 1171925 1178400 1406310 1500064 1875080 2250096 2343850 2812620 3515775 3750160 4500192 4687700 5625240 7031550 7500320 9375400 11250480 14063100 18750800 22500960 23016607 28126200 37501600 46033214 56252400 69049821 92066428 112504800 115083035 138099642 184132856 230166070 276199284 345249105 368265712 460332140 552398568 575415175 690498210 736531424 920664280 1104797136 1150830350 1380996420 1726245525 1841328560 2209594272 2301660700 2761992840 3452491050 3682657120 4603321400 5523985680 6904982100 9206642800 11047971360 13809964200 18413285600 27619928400 55239856800