Search a number
-
+
42921540 = 22325673559
BaseRepresentation
bin1010001110111…
…0111001000100
32222202122021200
42203232321010
541441442130
64131542500
71030553454
oct243567104
988678250
1042921540
1122256652
121245aa30
138b7a57c
1459b3d64
153b7c760
hex28eee44

42921540 has 72 divisors (see below), whose sum is σ = 132175680. Its totient is φ = 11271744.

The previous prime is 42921539. The next prime is 42921563. The reversal of 42921540 is 4512924.

42921540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 10281 + ... + 13839.

Almost surely, 242921540 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 42921540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66087840).

42921540 is an abundant number, since it is smaller than the sum of its proper divisors (89254140).

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

42921540 is a wasteful number, since it uses less digits than its factorization.

42921540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42921540 is about 6551.4532738927. The cubic root of 42921540 is about 350.1265936618.

It can be divided in two parts, 4292 and 1540, that added together give a cube (5832 = 183).

The spelling of 42921540 in words is "forty-two million, nine hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3559 4020 6030 7118 10677 12060 14236 17795 21354 32031 35590 42708 53385 64062 71180 106770 128124 160155 213540 238453 320310 476906 640620 715359 953812 1192265 1430718 2146077 2384530 2861436 3576795 4292154 4769060 7153590 8584308 10730385 14307180 21460770 42921540