Search a number
-
+
20249592 = 23311219367
BaseRepresentation
bin100110100111…
…1101111111000
31102002210012220
41031033233320
520140441332
62002004040
7334055466
oct115175770
942083186
1020249592
1110480900
126946620
13426cc0c
142991836
151b9ed2c
hex134fbf8

20249592 has 96 divisors (see below), whose sum is σ = 58732800. Its totient is φ = 5797440.

The previous prime is 20249563. The next prime is 20249599. The reversal of 20249592 is 29594202.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20249599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54993 + ... + 55359.

It is an arithmetic number, because the mean of its divisors is an integer number (611800).

Almost surely, 220249592 is an apocalyptic number.

20249592 is a gapful number since it is divisible by the number (22) 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 20249592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366400).

20249592 is an abundant number, since it is smaller than the sum of its proper divisors (38483208).

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

20249592 is a wasteful number, since it uses less digits than its factorization.

20249592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20249592 is about 4499.9546664383. The cubic root of 20249592 is about 272.5662583318.

It can be divided in two parts, 202 and 49592, that added together give a palindrome (49794).

The spelling of 20249592 in words is "twenty million, two hundred forty-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 367 418 456 484 627 726 734 836 968 1101 1254 1452 1468 1672 2202 2299 2508 2904 2936 4037 4404 4598 5016 6897 6973 8074 8808 9196 12111 13794 13946 16148 18392 20919 24222 27588 27892 32296 41838 44407 48444 55176 55784 76703 83676 88814 96888 133221 153406 167352 177628 230109 266442 306812 355256 460218 532884 613624 843733 920436 1065768 1687466 1840872 2531199 3374932 5062398 6749864 10124796 20249592