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42351216 = 2431724371
BaseRepresentation
bin1010000110001…
…1101001110000
32221200122221120
42201203221300
541320214331
64111422240
71022656635
oct241435160
987618846
1042351216
11219a7106
1212224980
138a0aabb
1458a618c
153ab8796
hex2863a70

42351216 has 120 divisors (see below), whose sum is σ = 120599424. Its totient is φ = 12794880.

The previous prime is 42351193. The next prime is 42351227. The reversal of 42351216 is 61215324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596461 + ... + 596531.

Almost surely, 242351216 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 42351216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60299712).

42351216 is an abundant number, since it is smaller than the sum of its proper divisors (78248208).

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

42351216 is a wasteful number, since it uses less digits than its factorization.

42351216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42351216 is about 6507.7811887002. The cubic root of 42351216 is about 348.5688937761.

The spelling of 42351216 in words is "forty-two million, three hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 71 86 102 129 136 142 172 204 213 258 272 284 289 344 408 426 516 568 578 688 731 816 852 867 1032 1136 1156 1207 1462 1704 1734 2064 2193 2312 2414 2924 3053 3408 3468 3621 4386 4624 4828 5848 6106 6936 7242 8772 9159 9656 11696 12212 12427 13872 14484 17544 18318 19312 20519 24424 24854 28968 35088 36636 37281 41038 48848 49708 51901 57936 61557 73272 74562 82076 99416 103802 123114 146544 149124 155703 164152 198832 207604 246228 298248 311406 328304 415208 492456 596496 622812 830416 882317 984912 1245624 1764634 2491248 2646951 3529268 5293902 7058536 10587804 14117072 21175608 42351216