Search a number
-
+
42347968 = 2613232213
BaseRepresentation
bin1010000110001…
…0110111000000
32221200111111021
42201202313000
541320113333
64111355224
71022644315
oct241426700
987614437
1042347968
11219a4723
1212222b14
138a09490
1458a4d0c
153ab782d
hex2862dc0

42347968 has 56 divisors (see below), whose sum is σ = 94475808. Its totient is φ = 18686976.

The previous prime is 42347959. The next prime is 42347971. The reversal of 42347968 is 86974324.

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, 18030 + ... + 20242.

It is an arithmetic number, because the mean of its divisors is an integer number (1687068).

Almost surely, 242347968 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 42347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47237904).

42347968 is an abundant number, since it is smaller than the sum of its proper divisors (52127840).

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

42347968 is a wasteful number, since it uses less digits than its factorization.

42347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2251 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 42347968 is about 6507.5316364963. The cubic root of 42347968 is about 348.5599827316.

The spelling of 42347968 in words is "forty-two million, three hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2213 2392 4426 4784 8852 9568 17704 19136 28769 35408 50899 57538 70816 101798 115076 141632 203596 230152 407192 460304 661687 814384 920608 1323374 1628768 1841216 2646748 3257536 5293496 10586992 21173984 42347968