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42324912 = 24327199211
BaseRepresentation
bin1010000101110…
…1001110110000
32221122022212100
42201131032300
541313344122
64111100400
71022520150
oct241351660
987568770
1042324912
1121989373
1212211700
1389cbb36
14589a760
153ab0aac
hex285d3b0

42324912 has 120 divisors (see below), whose sum is σ = 136697600. Its totient is φ = 11975040.

The previous prime is 42324907. The next prime is 42324967. The reversal of 42324912 is 21942324.

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 23 ways as a sum of consecutive naturals, for example, 200487 + ... + 200697.

Almost surely, 242324912 is an apocalyptic number.

42324912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68348800).

42324912 is an abundant number, since it is smaller than the sum of its proper divisors (94372688).

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

42324912 is a wasteful number, since it uses less digits than its factorization.

42324912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42324912 is about 6505.7599094956. The cubic root of 42324912 is about 348.4967143842.

The spelling of 42324912 in words is "forty-two million, three hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 211 252 336 398 422 504 597 633 796 844 1008 1194 1266 1393 1477 1592 1688 1791 1899 2388 2532 2786 2954 3184 3376 3582 3798 4179 4431 4776 5064 5572 5908 7164 7596 8358 8862 9552 10128 11144 11816 12537 13293 14328 15192 16716 17724 22288 23632 25074 26586 28656 30384 33432 35448 41989 50148 53172 66864 70896 83978 100296 106344 125967 167956 200592 212688 251934 293923 335912 377901 503868 587846 671824 755802 881769 1007736 1175692 1511604 1763538 2015472 2351384 2645307 3023208 3527076 4702768 5290614 6046416 7054152 10581228 14108304 21162456 42324912