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44103972 = 223112373199
BaseRepresentation
bin1010100000111…
…1100100100100
310001222201021110
42220033210210
542242311342
64213145020
71043610003
oct250174444
9101881243
1044103972
1122993a70
121292b170
1391a2833
145c00c3a
153d12c9c
hex2a0f924

44103972 has 96 divisors (see below), whose sum is σ = 119347200. Its totient is φ = 12545280.

The previous prime is 44103971. The next prime is 44104007. The reversal of 44103972 is 27930144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44103971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221529 + ... + 221727.

It is an arithmetic number, because the mean of its divisors is an integer number (1243200).

Almost surely, 244103972 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 44103972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59673600).

44103972 is an abundant number, since it is smaller than the sum of its proper divisors (75243228).

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

44103972 is a wasteful number, since it uses less digits than its factorization.

44103972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 44103972 is about 6641.0821407358. The cubic root of 44103972 is about 353.3126885608.

Subtracting from 44103972 its reverse (27930144), we obtain a triangular number (16173828 = T5687).

The spelling of 44103972 in words is "forty-four million, one hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 73 92 132 138 146 199 219 253 276 292 398 438 506 597 759 796 803 876 1012 1194 1518 1606 1679 2189 2388 2409 3036 3212 3358 4378 4577 4818 5037 6567 6716 8756 9154 9636 10074 13134 13731 14527 18308 18469 20148 26268 27462 29054 36938 43581 50347 54924 55407 58108 73876 87162 100694 110814 151041 159797 174324 201388 221628 302082 319594 334121 479391 604164 639188 668242 958782 1002363 1336484 1917564 2004726 3675331 4009452 7350662 11025993 14701324 22051986 44103972