Search a number
-
+
42526544 = 2431831033
BaseRepresentation
bin1010001000111…
…0011101010000
32222000120110012
42202032131100
541341322134
64115254052
71024320044
oct242163520
988016405
1042526544
1122006905
12122aa328
138a6c848
145910024
153b006ce
hex288e750

42526544 has 40 divisors (see below), whose sum is σ = 86161152. Its totient is φ = 20309760.

The previous prime is 42526543. The next prime is 42526559. The reversal of 42526544 is 44562524.

It is a self number, because there is not a number n which added to its sum of digits gives 42526544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42526543) 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 7 ways as a sum of consecutive naturals, for example, 40652 + ... + 41684.

Almost surely, 242526544 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 42526544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43080576).

42526544 is an abundant number, since it is smaller than the sum of its proper divisors (43634608).

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

42526544 is a wasteful number, since it uses less digits than its factorization.

42526544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 42526544 is about 6521.2379192911. The cubic root of 42526544 is about 349.0492400482.

The spelling of 42526544 in words is "forty-two million, five hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 62 83 124 166 248 332 496 664 1033 1328 2066 2573 4132 5146 8264 10292 16528 20584 32023 41168 64046 85739 128092 171478 256184 342956 512368 685912 1371824 2657909 5315818 10631636 21263272 42526544