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42709056 = 2631371241
BaseRepresentation
bin1010001011101…
…1000001000000
32222100211210220
42202323001000
541413142211
64123223040
71026010125
oct242730100
988324726
1042709056
1122120a45
1212377a80
138b04940
14595a74c
153b39806
hex28bb040

42709056 has 112 divisors (see below), whose sum is σ = 123919488. Its totient is φ = 12902400.

The previous prime is 42709039. The next prime is 42709067. The reversal of 42709056 is 65090724.

It is a super-2 number, since 2×427090562 = 3648126928822272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177096 + ... + 177336.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 242709056 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 42709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61959744).

42709056 is an abundant number, since it is smaller than the sum of its proper divisors (81210432).

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

42709056 is a wasteful number, since it uses less digits than its factorization.

42709056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 42709056 is about 6535.2165993179. The cubic root of 42709056 is about 349.5478678852.

The spelling of 42709056 in words is "forty-two million, seven hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 142 156 192 208 213 241 284 312 416 426 482 568 624 723 832 852 923 964 1136 1248 1446 1704 1846 1928 2272 2496 2769 2892 3133 3408 3692 3856 4544 5538 5784 6266 6816 7384 7712 9399 11076 11568 12532 13632 14768 15424 17111 18798 22152 23136 25064 29536 34222 37596 44304 46272 50128 51333 59072 68444 75192 88608 100256 102666 136888 150384 177216 200512 205332 222443 273776 300768 410664 444886 547552 601536 667329 821328 889772 1095104 1334658 1642656 1779544 2669316 3285312 3559088 5338632 7118176 10677264 14236352 21354528 42709056