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54084336 = 24319311913
BaseRepresentation
bin1100111001010…
…0001011110000
310202202202202120
43032110023300
5102321144321
65211114240
71224465165
oct316241360
9122682676
1054084336
11285903a9
1216142980
13b288487
14727c06c
154b34ec6
hex33942f0

54084336 has 80 divisors (see below), whose sum is σ = 151895040. Its totient is φ = 16519680.

The previous prime is 54084319. The next prime is 54084337. The reversal of 54084336 is 63348045.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54084297 and 54084306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54084337) 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, 27316 + ... + 29228.

It is an arithmetic number, because the mean of its divisors is an integer number (1898688).

Almost surely, 254084336 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 54084336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947520).

54084336 is an abundant number, since it is smaller than the sum of its proper divisors (97810704).

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

54084336 is a wasteful number, since it uses less digits than its factorization.

54084336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54084336 is about 7354.2053275660. The cubic root of 54084336 is about 378.1729842891.

The spelling of 54084336 in words is "fifty-four million, eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 1913 2356 3534 3826 4712 5739 7068 7652 9424 11478 14136 15304 22956 28272 30608 36347 45912 59303 72694 91824 109041 118606 145388 177909 218082 237212 290776 355818 436164 474424 581552 711636 872328 948848 1126757 1423272 1744656 2253514 2846544 3380271 4507028 6760542 9014056 13521084 18028112 27042168 54084336