Search a number
-
+
42342496 = 257421449
BaseRepresentation
bin1010000110000…
…1100001100000
32221200012222121
42201201201200
541314424441
64111314024
71022622340
oct241414140
987605877
1042342496
11219a05a9
121221b914
138a06b41
1458a2d20
153ab5dd1
hex2861860

42342496 has 48 divisors (see below), whose sum is σ = 95709600. Its totient is φ = 18063360.

The previous prime is 42342493. The next prime is 42342511. The reversal of 42342496 is 69424324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42342491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94080 + ... + 94528.

It is an arithmetic number, because the mean of its divisors is an integer number (1993950).

Almost surely, 242342496 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 42342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47854800).

42342496 is an abundant number, since it is smaller than the sum of its proper divisors (53367104).

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

42342496 is a wasteful number, since it uses less digits than its factorization.

42342496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 42342496 is about 6507.1111870015. Note that the first 4 decimals coincide. The cubic root of 42342496 is about 348.5449690055.

The spelling of 42342496 in words is "forty-two million, three hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 421 449 842 898 1684 1796 2947 3143 3368 3592 5894 6286 6736 7184 11788 12572 13472 14368 23576 25144 47152 50288 94304 100576 189029 378058 756116 1323203 1512232 2646406 3024464 5292812 6048928 10585624 21171248 42342496