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54567216 = 24331111483
BaseRepresentation
bin1101000000101…
…0000100110000
310210200022011000
43100022010300
5102432122331
65225322000
71231546044
oct320120460
9123608130
1054567216
1128890180
1216336300
13b3c71c2
147366024
154bcd0e6
hex340a130

54567216 has 80 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 16534080.

The previous prime is 54567203. The next prime is 54567217. The reversal of 54567216 is 61276545.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54567217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990 + ... + 10493.

It is an arithmetic number, because the mean of its divisors is an integer number (2136024).

Almost surely, 254567216 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 54567216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

54567216 is an abundant number, since it is smaller than the sum of its proper divisors (116314704).

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

54567216 is a wasteful number, since it uses less digits than its factorization.

54567216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11499 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54567216 is about 7386.9625692838. The cubic root of 54567216 is about 379.2951291535.

The spelling of 54567216 in words is "fifty-four million, five hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 11483 22966 34449 45932 68898 91864 103347 126313 137796 183728 206694 252626 275592 310041 378939 413388 505252 551184 620082 757878 826776 1010504 1136817 1240164 1515756 1653552 2021008 2273634 2480328 3031512 3410451 4547268 4960656 6063024 6820902 9094536 13641804 18189072 27283608 54567216