Search a number
-
+
55333800 = 23335210247
BaseRepresentation
bin1101001100010…
…1001110101000
310212010020201000
43103011032220
5103131140200
65253555000
71241221014
oct323051650
9125106630
1055333800
1129264115
1216645a60
13b6050c2
1474c5544
154cd0300
hex34c53a8

55333800 has 96 divisors (see below), whose sum is σ = 190612800. Its totient is φ = 14754240.

The previous prime is 55333783. The next prime is 55333807. The reversal of 55333800 is 833355.

55333800 is a `hidden beast` number, since 553 + 33 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55333807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277 + ... + 10523.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 255333800 is an apocalyptic number.

55333800 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 55333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95306400).

55333800 is an abundant number, since it is smaller than the sum of its proper divisors (135279000).

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

55333800 is a wasteful number, since it uses less digits than its factorization.

55333800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10272 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 55333800 is about 7438.6692358244. The cubic root of 55333800 is about 381.0630436938.

The spelling of 55333800 in words is "fifty-five million, three hundred thirty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 10247 20494 30741 40988 51235 61482 81976 92223 102470 122964 153705 184446 204940 245928 256175 276669 307410 368892 409880 461115 512350 553338 614820 737784 768525 922230 1024700 1106676 1229640 1383345 1537050 1844460 2049400 2213352 2305575 2766690 3074100 3688920 4611150 5533380 6148200 6916725 9222300 11066760 13833450 18444600 27666900 55333800