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54446020 = 2251927541
BaseRepresentation
bin1100111110110…
…0011111000100
310210110010220021
43033230133010
5102414233040
65222544524
71230532516
oct317543704
9123403807
1054446020
1128808112
1216298144
13b383ca5
147333bb6
154ba724a
hex33ec7c4

54446020 has 36 divisors (see below), whose sum is σ = 120687084. Its totient is φ = 20629440.

The previous prime is 54445973. The next prime is 54446023. The reversal of 54446020 is 2064445.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 42224004 = 3496^2 + 6498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54446023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450 + ... + 10990.

It is an arithmetic number, because the mean of its divisors is an integer number (3352419).

Almost surely, 254446020 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 54446020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60343542).

54446020 is an abundant number, since it is smaller than the sum of its proper divisors (66241064).

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

54446020 is a wasteful number, since it uses less digits than its factorization.

54446020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 54446020 is about 7378.7546374710. The cubic root of 54446020 is about 379.0141110444.

It can be divided in two parts, 544 and 46020, that added together give a palindrome (46564).

The spelling of 54446020 in words is "fifty-four million, four hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 7541 15082 30164 37705 75410 143279 150820 286558 573116 716395 1432790 2722301 2865580 5444602 10889204 13611505 27223010 54446020