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42245632 = 291113577
BaseRepresentation
bin1010000100100…
…1111000000000
32221111022010001
42201021320000
541303330012
64105245344
71022040052
oct241117000
987438101
1042245632
1121934850
1212193854
1389a1a20
1458798d2
153a97357
hex2849e00

42245632 has 80 divisors (see below), whose sum is σ = 99337392. Its totient is φ = 17694720.

The previous prime is 42245627. The next prime is 42245647. The reversal of 42245632 is 23654224.

It is a self number, because there is not a number n which added to its sum of digits gives 42245632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72928 + ... + 73504.

Almost surely, 242245632 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 42245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49668696).

42245632 is an abundant number, since it is smaller than the sum of its proper divisors (57091760).

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

42245632 is a wasteful number, since it uses less digits than its factorization.

42245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 42245632 is about 6499.6639913152. The cubic root of 42245632 is about 348.2789853372.

Adding to 42245632 its reverse (23654224), we get a palindrome (65899856).

The spelling of 42245632 in words is "forty-two million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 577 704 832 1144 1154 1408 1664 2288 2308 2816 3328 4576 4616 5632 6347 6656 7501 9152 9232 12694 15002 18304 18464 25388 30004 36608 36928 50776 60008 73216 73856 82511 101552 120016 147712 165022 203104 240032 295424 330044 406208 480064 660088 812416 960128 1320176 1624832 1920256 2640352 3249664 3840512 5280704 10561408 21122816 42245632