Search a number
-
+
54041900 = 22521173673
BaseRepresentation
bin1100111000100…
…1110100101100
310202200121112212
43032021310230
5102313320100
65210145552
71224230363
oct316116454
9122617485
1054041900
1128561530
12161222b8
13b272073
14726a7da
154b27635
hex3389d2c

54041900 has 72 divisors (see below), whose sum is σ = 129877104. Its totient is φ = 19353600.

The previous prime is 54041899. The next prime is 54041921. The reversal of 54041900 is 914045.

It is a happy number.

54041900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540419002 = 5841053911220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79964 + ... + 80636.

Almost surely, 254041900 is an apocalyptic number.

54041900 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 54041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64938552).

54041900 is an abundant number, since it is smaller than the sum of its proper divisors (75835204).

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

54041900 is a wasteful number, since it uses less digits than its factorization.

54041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 54041900 is about 7351.3196094307. The cubic root of 54041900 is about 378.0740502351.

Adding to 54041900 its reverse (914045), we get a palindrome (54955945).

The spelling of 54041900 in words is "fifty-four million, forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 673 730 803 1100 1346 1460 1606 1825 2692 3212 3365 3650 4015 6730 7300 7403 8030 13460 14806 16060 16825 20075 29612 33650 37015 40150 49129 67300 74030 80300 98258 148060 185075 196516 245645 370150 491290 540419 740300 982580 1080838 1228225 2161676 2456450 2702095 4912900 5404190 10808380 13510475 27020950 54041900