Search a number
-
+
44086272 = 2103113127
BaseRepresentation
bin1010100000101…
…1010000000000
310001221210222220
42220023100000
542241230042
64212531040
71043504256
oct250132000
9101853886
1044086272
112298173a
1212920a80
139197769
145bd85d6
153d0c8ec
hex2a0b400

44086272 has 88 divisors (see below), whose sum is σ = 119479296. Its totient is φ = 14450688.

The previous prime is 44086271. The next prime is 44086279. The reversal of 44086272 is 27268044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44086271) 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 7 ways as a sum of consecutive naturals, for example, 347073 + ... + 347199.

Almost surely, 244086272 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 44086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59739648).

44086272 is an abundant number, since it is smaller than the sum of its proper divisors (75393024).

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

44086272 is a wasteful number, since it uses less digits than its factorization.

44086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 44086272 is about 6639.7493928611. The cubic root of 44086272 is about 353.2654179026.

The spelling of 44086272 in words is "forty-four million, eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 127 128 192 226 254 256 339 381 384 452 508 512 678 762 768 904 1016 1024 1356 1524 1536 1808 2032 2712 3048 3072 3616 4064 5424 6096 7232 8128 10848 12192 14351 14464 16256 21696 24384 28702 28928 32512 43053 43392 48768 57404 57856 65024 86106 86784 97536 114808 115712 130048 172212 173568 195072 229616 344424 347136 390144 459232 688848 918464 1377696 1836928 2755392 3673856 5510784 7347712 11021568 14695424 22043136 44086272