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544872672 = 253212714897
BaseRepresentation
bin100000011110100…
…001100011100000
31101222021101210100
4200132201203200
52103441411142
6130022302400
716334225031
oct4036414340
91358241710
10544872672
1125a6259a3
12132587a00
1388b66786
1452516a88
1532c7db4c
hex207a18e0

544872672 has 72 divisors (see below), whose sum is σ = 1561787136. Its totient is φ = 180182016.

The previous prime is 544872659. The next prime is 544872733. The reversal of 544872672 is 276278445.

It is a happy number.

544872672 is a `hidden beast` number, since 544 + 87 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29128 + ... + 44024.

It is an arithmetic number, because the mean of its divisors is an integer number (21691488).

Almost surely, 2544872672 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 544872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780893568).

544872672 is an abundant number, since it is smaller than the sum of its proper divisors (1016914464).

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

544872672 is a wasteful number, since it uses less digits than its factorization.

544872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15040 (or 15029 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 544872672 is about 23342.5078344209. The cubic root of 544872672 is about 816.7673001817.

The spelling of 544872672 in words is "five hundred forty-four million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 14897 18288 29794 36576 44691 59588 89382 119176 134073 178764 238352 268146 357528 476704 536292 715056 1072584 1430112 1891919 2145168 3783838 4290336 5675757 7567676 11351514 15135352 17027271 22703028 30270704 34054542 45406056 60541408 68109084 90812112 136218168 181624224 272436336 544872672