Search a number
-
+
44695840 = 255725701
BaseRepresentation
bin1010101010000…
…0000100100000
310010002210011111
42222200010200
542420231330
64233553104
71051623400
oct252400440
9103083144
1044695840
1123258712
1212b75794
13934c057
145d16800
153dcd32a
hex2aa0120

44695840 has 72 divisors (see below), whose sum is σ = 122855292. Its totient is φ = 15321600.

The previous prime is 44695817. The next prime is 44695843. The reversal of 44695840 is 4859644.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 659344 = 6636^2 + 812^2 .

It is a super-2 number, since 2×446958402 = 3995436226611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44695793 and 44695802.

It is not an unprimeable number, because it can be changed into a prime (44695843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4990 + ... + 10690.

Almost surely, 244695840 is an apocalyptic number.

44695840 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 44695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61427646).

44695840 is an abundant number, since it is smaller than the sum of its proper divisors (78159452).

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

44695840 is a wasteful number, since it uses less digits than its factorization.

44695840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 44695840 is about 6685.4947460902. The cubic root of 44695840 is about 354.8861368616.

The spelling of 44695840 in words is "forty-four million, six hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 5701 7840 11402 22804 28505 39907 45608 57010 79814 91216 114020 159628 182432 199535 228040 279349 319256 399070 456080 558698 638512 798140 912160 1117396 1277024 1396745 1596280 2234792 2793490 3192560 4469584 5586980 6385120 8939168 11173960 22347920 44695840