Search a number
-
+
54751840 = 25511132393
BaseRepresentation
bin1101000011011…
…1001001100000
310211000200101221
43100313021200
5103004024330
65233304424
71233245233
oct320671140
9124020357
1054751840
11289a6960
1216405114
13b460250
1473b341a
154c17b7a
hex3437260

54751840 has 96 divisors (see below), whose sum is σ = 152028576. Its totient is φ = 18370560.

The previous prime is 54751811. The next prime is 54751841. The reversal of 54751840 is 4815745.

It is a junction number, because it is equal to n+sod(n) for n = 54751796 and 54751805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54751841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21684 + ... + 24076.

It is an arithmetic number, because the mean of its divisors is an integer number (1583631).

Almost surely, 254751840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76014288).

54751840 is an abundant number, since it is smaller than the sum of its proper divisors (97276736).

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

54751840 is a wasteful number, since it uses less digits than its factorization.

54751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 54751840 is about 7399.4486281074. The cubic root of 54751840 is about 379.7224196293.

The spelling of 54751840 in words is "fifty-four million, seven hundred fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2393 2860 4576 4786 5720 9572 11440 11965 19144 22880 23930 26323 31109 38288 47860 52646 62218 76576 95720 105292 124436 131615 155545 191440 210584 248872 263230 311090 342199 382880 421168 497744 526460 622180 684398 842336 995488 1052920 1244360 1368796 1710995 2105840 2488720 2737592 3421990 4211680 4977440 5475184 6843980 10950368 13687960 27375920 54751840