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20049624 = 2332725683
BaseRepresentation
bin100110001111…
…0111011011000
31101201121220200
41030132323120
520113041444
61553422200
7332263500
oct114367330
941647820
1020049624
1110354641
12686a960
1341ccbaa
14293ca00
151b60969
hex131eed8

20049624 has 72 divisors (see below), whose sum is σ = 63177660. Its totient is φ = 5727456.

The previous prime is 20049607. The next prime is 20049649. The reversal of 20049624 is 42694002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 687 + ... + 6369.

Almost surely, 220049624 is an apocalyptic number.

20049624 is a gapful number since it is divisible by the number (24) 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 20049624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31588830).

20049624 is an abundant number, since it is smaller than the sum of its proper divisors (43128036).

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

20049624 is a wasteful number, since it uses less digits than its factorization.

20049624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20049624 is about 4477.6806496221. The cubic root of 20049624 is about 271.6660766712. Note that the first 3 decimals are identical.

It can be divided in two parts, 2004 and 9624, that added together give a triangular number (11628 = T152).

The spelling of 20049624 in words is "twenty million, forty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5683 11366 17049 22732 34098 39781 45464 51147 68196 79562 102294 119343 136392 159124 204588 238686 278467 318248 358029 409176 477372 556934 716058 835401 954744 1113868 1432116 1670802 2227736 2506203 2864232 3341604 5012406 6683208 10024812 20049624