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44244840 = 23353071201
BaseRepresentation
bin1010100011000…
…1111101101000
310002020212111210
42220301331220
542311313330
64220153120
71045034463
oct250617550
9102225453
1044244840
1122a7a892
12129987a0
1392219a3
145c3a2da
153d3e8b0
hex2a31f68

44244840 has 64 divisors (see below), whose sum is σ = 133277760. Its totient is φ = 11750400.

The previous prime is 44244803. The next prime is 44244853. The reversal of 44244840 is 4844244.

44244840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44244798 and 44244807.

It is an unprimeable number.

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, 36240 + ... + 37440.

It is an arithmetic number, because the mean of its divisors is an integer number (2082465).

Almost surely, 244244840 is an apocalyptic number.

44244840 is a gapful number since it is divisible by the number (40) 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 44244840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66638880).

44244840 is an abundant number, since it is smaller than the sum of its proper divisors (89032920).

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

44244840 is a wasteful number, since it uses less digits than its factorization.

44244840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The square root of 44244840 is about 6651.6794871671. The cubic root of 44244840 is about 353.6884487964.

The spelling of 44244840 in words is "forty-four million, two hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1201 1228 1535 1842 2402 2456 3070 3603 3684 4605 4804 6005 6140 7206 7368 9210 9608 12010 12280 14412 18015 18420 24020 28824 36030 36840 48040 72060 144120 368707 737414 1106121 1474828 1843535 2212242 2949656 3687070 4424484 5530605 7374140 8848968 11061210 14748280 22122420 44244840