Search a number
-
+
42344456 = 23711531297
BaseRepresentation
bin1010000110001…
…0000000001000
32221200022200012
42201202000020
541320010311
64111331052
71022631140
oct241420010
987608605
1042344456
11219a2020
1212220a88
138a079bb
1458a3920
153ab678b
hex2862008

42344456 has 64 divisors (see below), whose sum is σ = 100932480. Its totient is φ = 16174080.

The previous prime is 42344447. The next prime is 42344461. The reversal of 42344456 is 65444324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32000 + ... + 33296.

It is an arithmetic number, because the mean of its divisors is an integer number (1577070).

Almost surely, 242344456 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 42344456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50466240).

42344456 is an abundant number, since it is smaller than the sum of its proper divisors (58588024).

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

42344456 is a wasteful number, since it uses less digits than its factorization.

42344456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 42344456 is about 6507.2617897238. The cubic root of 42344456 is about 348.5503468777.

The spelling of 42344456 in words is "forty-two million, three hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 154 212 308 371 424 583 616 742 1166 1297 1484 2332 2594 2968 4081 4664 5188 8162 9079 10376 14267 16324 18158 28534 32648 36316 57068 68741 72632 99869 114136 137482 199738 274964 399476 481187 549928 756151 798952 962374 1512302 1924748 3024604 3849496 5293057 6049208 10586114 21172228 42344456