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42314664 = 23372347233
BaseRepresentation
bin1010000101101…
…0101110101000
32221121210210210
42201122232220
541313032124
64110541120
71022445240
oct241325650
987553723
1042314664
11219816a7
12122077a0
1389c7282
145896b20
153aaca29
hex285aba8

42314664 has 128 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 11269632.

The previous prime is 42314639. The next prime is 42314677. The reversal of 42314664 is 46641324.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181492 + ... + 181724.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 242314664 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 42314664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

42314664 is an abundant number, since it is smaller than the sum of its proper divisors (87077976).

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

42314664 is a wasteful number, since it uses less digits than its factorization.

42314664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42314664 is about 6504.9722520546. The cubic root of 42314664 is about 348.4685853034.

Adding to 42314664 its reverse (46641324), we get a palindrome (88955988).

The spelling of 42314664 in words is "forty-two million, three hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 69 84 92 94 138 141 161 168 184 188 233 276 282 322 329 376 466 483 552 564 644 658 699 932 966 987 1081 1128 1288 1316 1398 1631 1864 1932 1974 2162 2632 2796 3243 3262 3864 3948 4324 4893 5359 5592 6486 6524 7567 7896 8648 9786 10718 10951 12972 13048 15134 16077 19572 21436 21902 22701 25944 30268 32154 32853 37513 39144 42872 43804 45402 60536 64308 65706 75026 76657 87608 90804 112539 128616 131412 150052 153314 181608 225078 229971 251873 262824 300104 306628 450156 459942 503746 613256 755619 900312 919884 1007492 1511238 1763111 1839768 2014984 3022476 3526222 5289333 6044952 7052444 10578666 14104888 21157332 42314664