Search a number
-
+
21248892 = 22377347
BaseRepresentation
bin101000100001…
…1101101111100
31110222120000000
41101003231330
520414431032
62035234300
7345420060
oct121035574
943876000
1021248892
1110aa3675
127148990
13452ca12
142b71aa0
151ceae7c
hex1443b7c

21248892 has 96 divisors (see below), whose sum is σ = 63920640. Its totient is φ = 6053616.

The previous prime is 21248881. The next prime is 21248893. The reversal of 21248892 is 29884212.

It is a super-2 number, since 2×212488922 = 903030822455328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21248893) 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 31 ways as a sum of consecutive naturals, for example, 61063 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (665840).

Almost surely, 221248892 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 21248892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31960320).

21248892 is an abundant number, since it is smaller than the sum of its proper divisors (42671748).

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

21248892 is an equidigital number, since it uses as much as digits as its factorization.

21248892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 21248892 is about 4609.6520476062. The cubic root of 21248892 is about 276.9780986824.

It can be divided in two parts, 2124889 and 2, that added together give a triangular number (2124891 = T2061).

The spelling of 21248892 in words is "twenty-one million, two hundred forty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 347 378 486 567 694 729 756 972 1041 1134 1388 1458 1701 2082 2187 2268 2429 2916 3123 3402 4164 4374 4858 5103 6246 6804 7287 8748 9369 9716 10206 12492 14574 15309 18738 20412 21861 28107 29148 30618 37476 43722 56214 61236 65583 84321 87444 112428 131166 168642 196749 252963 262332 337284 393498 505926 590247 758889 786996 1011852 1180494 1517778 1770741 2360988 3035556 3541482 5312223 7082964 10624446 21248892