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44040192 = 22137
BaseRepresentation
bin1010100000000…
…0000000000000
310001212110210020
42220000000000
542233241232
64211533440
71043223030
oct250000000
9101773706
1044040192
1122950059
12128ba280
13917c7b1
145bc58c0
153cede2c
hex2a00000

44040192 has 88 divisors (see below), whose sum is σ = 134217696. Its totient is φ = 12582912.

The previous prime is 44040187. The next prime is 44040253. The reversal of 44040192 is 29104044.

It is an ABA number since it can be written as A⋅BA, here for A=21, B=2.

It is a super-2 number, since 2×440401922 = 3879077022793728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6291453 + ... + 6291459.

Almost surely, 244040192 is an apocalyptic number.

44040192 is a gapful number since it is divisible by the number (42) 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 44040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108848).

44040192 is an abundant number, since it is smaller than the sum of its proper divisors (90177504).

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

44040192 is an frugal number, since it uses more digits than its factorization.

44040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 44040192 is about 6636.2784751696. The cubic root of 44040192 is about 353.1422945768.

The spelling of 44040192 in words is "forty-four million, forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 16384 21504 24576 28672 32768 43008 49152 57344 65536 86016 98304 114688 131072 172032 196608 229376 262144 344064 393216 458752 524288 688128 786432 917504 1048576 1376256 1572864 1835008 2097152 2752512 3145728 3670016 5505024 6291456 7340032 11010048 14680064 22020096 44040192