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54446000 = 245373889
BaseRepresentation
bin1100111110110…
…0011110110000
310210110010212112
43033230132300
5102414233000
65222544452
71230532460
oct317543660
9123403775
1054446000
11288080a4
1216298128
13b383c8b
147333ba0
154ba7235
hex33ec7b0

54446000 has 80 divisors (see below), whose sum is σ = 150496320. Its totient is φ = 18662400.

The previous prime is 54445973. The next prime is 54446023. The reversal of 54446000 is 64445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12056 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (1881204).

Almost surely, 254446000 is an apocalyptic number.

54446000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75248160).

54446000 is an abundant number, since it is smaller than the sum of its proper divisors (96050320).

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

54446000 is a wasteful number, since it uses less digits than its factorization.

54446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 54446000 is about 7378.7532822286. The cubic root of 54446000 is about 379.0140646359.

The spelling of 54446000 in words is "fifty-four million, four hundred forty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 3889 7000 7778 14000 15556 19445 27223 31112 38890 54446 62224 77780 97225 108892 136115 155560 194450 217784 272230 311120 388900 435568 486125 544460 680575 777800 972250 1088920 1361150 1555600 1944500 2177840 2722300 3402875 3889000 5444600 6805750 7778000 10889200 13611500 27223000 54446000