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42939468 = 2232111319439
BaseRepresentation
bin1010001111001…
…1010001001100
32222210112212200
42203303101030
541443030333
64132201500
71030656645
oct243632114
988715780
1042939468
1122269070
1212469290
138b85790
1459ba6cc
153b82c13
hex28f344c

42939468 has 144 divisors (see below), whose sum is σ = 134534400. Its totient is φ = 11352960.

The previous prime is 42939461. The next prime is 42939473. The reversal of 42939468 is 86493924.

It is a super-3 number, since 3×429394683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42939461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97593 + ... + 98031.

Almost surely, 242939468 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 42939468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267200).

42939468 is an abundant number, since it is smaller than the sum of its proper divisors (91594932).

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

42939468 is a wasteful number, since it uses less digits than its factorization.

42939468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42939468 is about 6552.8213770864. The cubic root of 42939468 is about 350.1753352790.

The spelling of 42939468 in words is "forty-two million, nine hundred thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 114 117 132 143 156 171 198 209 228 234 247 286 342 396 418 429 439 468 494 572 627 684 741 836 858 878 988 1254 1287 1317 1482 1716 1756 1881 2223 2508 2574 2634 2717 2964 3762 3951 4446 4829 5148 5268 5434 5707 7524 7902 8151 8341 8892 9658 10868 11414 14487 15804 16302 16682 17121 19316 22828 24453 25023 28974 32604 33364 34242 43461 48906 50046 51363 57948 62777 68484 75069 86922 91751 97812 100092 102726 108433 125554 150138 173844 183502 188331 205452 216866 251108 275253 300276 325299 367004 376662 433732 550506 564993 650598 753324 825759 975897 1101012 1129986 1192763 1301196 1651518 1951794 2259972 2385526 3303036 3578289 3903588 4771052 7156578 10734867 14313156 21469734 42939468