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54378216 = 2334312707
BaseRepresentation
bin1100111101101…
…1111011101000
310210022200220000
43033123323220
5102410100331
65221303000
71230131034
oct317337350
9123280800
1054378216
1128771182
1216264a60
13b35c179
1473171c4
154b920e6
hex33dbee8

54378216 has 80 divisors (see below), whose sum is σ = 157280640. Its totient is φ = 17534880.

The previous prime is 54378193. The next prime is 54378217. The reversal of 54378216 is 61287345.

54378216 is a `hidden beast` number, since 5 + 437 + 8 + 216 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54378217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18735 + ... + 21441.

It is an arithmetic number, because the mean of its divisors is an integer number (1966008).

Almost surely, 254378216 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 54378216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78640320).

54378216 is an abundant number, since it is smaller than the sum of its proper divisors (102902424).

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

54378216 is a wasteful number, since it uses less digits than its factorization.

54378216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2743 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54378216 is about 7374.1586638748. The cubic root of 54378216 is about 378.8567114276.

The spelling of 54378216 in words is "fifty-four million, three hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 2707 3348 5022 5414 6696 8121 10044 10828 16242 20088 21656 24363 32484 48726 64968 73089 83917 97452 146178 167834 194904 219267 251751 292356 335668 438534 503502 584712 671336 755253 877068 1007004 1510506 1754136 2014008 2265759 3021012 4531518 6042024 6797277 9063036 13594554 18126072 27189108 54378216