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20444172 = 223734967
BaseRepresentation
bin100110111111…
…1010000001100
31102110200010120
41031333100030
520213203142
62010104540
7335526000
oct115772014
942420116
1020444172
11105a4011
126a1b150
13430a658
142a02700
151bdc7ec
hex137f40c

20444172 has 48 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 5840016.

The previous prime is 20444153. The next prime is 20444191. The reversal of 20444172 is 27144402.

It is an interprime number because it is at equal distance from previous prime (20444153) and next prime (20444191).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1633 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 220444172 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 20444172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820800).

20444172 is an abundant number, since it is smaller than the sum of its proper divisors (35197428).

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

20444172 is a wasteful number, since it uses less digits than its factorization.

20444172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 20444172 is about 4521.5231946768. The cubic root of 20444172 is about 273.4365140231.

Adding to 20444172 its reverse (27144402), we get a palindrome (47588574).

It can be divided in two parts, 2044 and 4172, that added together give a triangular number (6216 = T111).

The spelling of 20444172 in words is "twenty million, four hundred forty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 4967 9934 14901 19868 29802 34769 59604 69538 104307 139076 208614 243383 417228 486766 730149 973532 1460298 1703681 2920596 3407362 5111043 6814724 10222086 20444172