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54918192 = 2437732239
BaseRepresentation
bin1101000101111…
…1110000110000
310211100010121010
43101133300300
5103024340232
65241030520
71234540230
oct321376060
9124303533
1054918192
1128aaa93a
1216485440
13b4bab94
147417cc0
154c4c0cc
hex345fc30

54918192 has 80 divisors (see below), whose sum is σ = 164433920. Its totient is φ = 15469056.

The previous prime is 54918191. The next prime is 54918217. The reversal of 54918192 is 29181945.

54918192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54918192.

It is not an unprimeable number, because it can be changed into a prime (54918191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23409 + ... + 25647.

It is an arithmetic number, because the mean of its divisors is an integer number (2055424).

Almost surely, 254918192 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 54918192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82216960).

54918192 is an abundant number, since it is smaller than the sum of its proper divisors (109515728).

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

54918192 is a wasteful number, since it uses less digits than its factorization.

54918192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2324 counting only the distinct ones).

The product of its digits is 25920, while the sum is 39.

The square root of 54918192 is about 7410.6809403725. The cubic root of 54918192 is about 380.1065998254.

The spelling of 54918192 in words is "fifty-four million, nine hundred eighteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 2239 3066 3504 4088 4478 6132 6717 8176 8956 12264 13434 15673 17912 24528 26868 31346 35824 47019 53736 62692 94038 107472 125384 163447 188076 250768 326894 376152 490341 653788 752304 980682 1144129 1307576 1961364 2288258 2615152 3432387 3922728 4576516 6864774 7845456 9153032 13729548 18306064 27459096 54918192