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54662868 = 223213271431
BaseRepresentation
bin1101000010000…
…1011011010100
310210212011100200
43100201123110
5102443202433
65231340500
71232424651
oct320413324
9123764320
1054662868
1128946027
1216381730
13b42b8c0
14738cc28
154beb613
hex34216d4

54662868 has 72 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 16718400.

The previous prime is 54662857. The next prime is 54662869. The reversal of 54662868 is 86826645.

Its product of digits (552960) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54662869) 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 23 ways as a sum of consecutive naturals, for example, 126613 + ... + 127043.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 254662868 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 54662868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

54662868 is an abundant number, since it is smaller than the sum of its proper divisors (95037228).

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

54662868 is a wasteful number, since it uses less digits than its factorization.

54662868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 54662868 is about 7393.4341141313. The cubic root of 54662868 is about 379.5166245380.

The spelling of 54662868 in words is "fifty-four million, six hundred sixty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 431 468 542 813 862 1084 1293 1626 1724 2439 2586 3252 3523 3879 4878 5172 5603 7046 7758 9756 10569 11206 14092 15516 16809 21138 22412 31707 33618 42276 50427 63414 67236 100854 116801 126828 201708 233602 350403 467204 700806 1051209 1401612 1518413 2102418 3036826 4204836 4555239 6073652 9110478 13665717 18220956 27331434 54662868