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21292488 = 2332783509
BaseRepresentation
bin101000100111…
…0010111001000
31111001202210200
41101032113020
520422324423
62040212200
7345661140
oct121162710
944052720
1021292488
11110233a8
12716a060
134546809
142b83920
151d08d43
hex144e5c8

21292488 has 96 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 5998464.

The previous prime is 21292487. The next prime is 21292507. The reversal of 21292488 is 88429212.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21292487) 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 23 ways as a sum of consecutive naturals, for example, 41578 + ... + 42086.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 221292488 is an apocalyptic number.

21292488 is a gapful number since it is divisible by the number (28) 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 21292488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

21292488 is an abundant number, since it is smaller than the sum of its proper divisors (45537912).

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

21292488 is a wasteful number, since it uses less digits than its factorization.

21292488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

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

The square root of 21292488 is about 4614.3783980077. The cubic root of 21292488 is about 277.1673930775.

The spelling of 21292488 in words is "twenty-one million, two hundred ninety-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 509 581 664 747 996 1018 1162 1494 1527 1743 1992 2036 2324 2988 3054 3486 3563 4072 4581 4648 5229 5976 6108 6972 7126 9162 10458 10689 12216 13944 14252 18324 20916 21378 28504 32067 36648 41832 42247 42756 64134 84494 85512 126741 128268 168988 253482 256536 295729 337976 380223 506964 591458 760446 887187 1013928 1182916 1520892 1774374 2365832 2661561 3041784 3548748 5323122 7097496 10646244 21292488