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42313216 = 29112683
BaseRepresentation
bin1010000101101…
…0011000000000
32221121201211011
42201122120000
541313010331
64110530304
71022441101
oct241323000
987551734
1042313216
1121980600
1212206994
1389c670a
1458963a8
153aac3b1
hex285a600

42313216 has 60 divisors (see below), whose sum is σ = 93064356. Its totient is φ = 19205120.

The previous prime is 42313147. The next prime is 42313223. The reversal of 42313216 is 61231324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61611 + ... + 62293.

Almost surely, 242313216 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 42313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532178).

42313216 is an abundant number, since it is smaller than the sum of its proper divisors (50751140).

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

42313216 is an equidigital number, since it uses as much as digits as its factorization.

42313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 696 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 42313216 is about 6504.8609516269. The cubic root of 42313216 is about 348.4646104145.

It can be divided in two parts, 4231 and 3216, that added together give a palindrome (7447).

The spelling of 42313216 in words is "forty-two million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 683 704 968 1366 1408 1936 2732 2816 3872 5464 5632 7513 7744 10928 15026 15488 21856 30052 30976 43712 60104 61952 82643 87424 120208 165286 174848 240416 330572 349696 480832 661144 961664 1322288 1923328 2644576 3846656 5289152 10578304 21156608 42313216