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44199792 = 24327133373
BaseRepresentation
bin1010100010011…
…0111101110000
310002011120201100
42220212331300
542303343132
64215204400
71044456240
oct250467560
9102146640
1044199792
1122a49a5a
1212976700
139207330
145c27b20
153d3137c
hex2a26f70

44199792 has 120 divisors (see below), whose sum is σ = 152288864. Its totient is φ = 11653632.

The previous prime is 44199773. The next prime is 44199797. The reversal of 44199792 is 29799144.

It is a happy number.

44199792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441997922 = 3907243225686528, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44199797) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11418 + ... + 14790.

Almost surely, 244199792 is an apocalyptic number.

44199792 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 44199792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76144432).

44199792 is an abundant number, since it is smaller than the sum of its proper divisors (108089072).

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

44199792 is a wasteful number, since it uses less digits than its factorization.

44199792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3398 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 44199792 is about 6648.2924123417. The cubic root of 44199792 is about 353.5683717607.

Subtracting from 44199792 its product of digits (163296), we obtain a square (44036496 = 66362).

The spelling of 44199792 in words is "forty-four million, one hundred ninety-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 3373 4368 6552 6746 10119 13104 13492 20238 23611 26984 30357 40476 43849 47222 53968 60714 70833 80952 87698 94444 121428 131547 141666 161904 175396 188888 212499 242856 263094 283332 306943 350792 377776 394641 424998 485712 526188 566664 613886 701584 789282 849996 920829 1052376 1133328 1227772 1578564 1699992 1841658 2104752 2455544 2762487 3157128 3399984 3683316 4911088 5524974 6314256 7366632 11049948 14733264 22099896 44199792