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42658704 = 24331147191
BaseRepresentation
bin1010001010111…
…0101110010000
32222021021202000
42202232232100
541410034304
64122154000
71025410254
oct242565620
988237660
1042658704
1122097130
1212352900
138ab7a4a
145946264
153b29939
hex28aeb90

42658704 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 12585600.

The previous prime is 42658673. The next prime is 42658723. The reversal of 42658704 is 40785624.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 223249 + ... + 223439.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 242658704 is an apocalyptic number.

42658704 is a gapful number since it is divisible by the number (44) 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 42658704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

42658704 is an abundant number, since it is smaller than the sum of its proper divisors (94475376).

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

42658704 is a wasteful number, since it uses less digits than its factorization.

42658704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42658704 is about 6531.3631042838. The cubic root of 42658704 is about 349.4104469482.

Subtracting from 42658704 its reverse (40785624), we obtain a triangular number (1873080 = T1935).

The spelling of 42658704 in words is "forty-two million, six hundred fifty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 47 48 54 66 72 88 94 99 108 132 141 144 176 188 191 198 216 264 282 297 376 382 396 423 432 517 528 564 573 594 752 764 792 846 1034 1128 1146 1188 1269 1528 1551 1584 1692 1719 2068 2101 2256 2292 2376 2538 3056 3102 3384 3438 4136 4202 4584 4653 4752 5076 5157 6204 6303 6768 6876 8272 8404 8977 9168 9306 10152 10314 12408 12606 13752 13959 16808 17954 18612 18909 20304 20628 24816 25212 26931 27504 27918 33616 35908 37224 37818 41256 50424 53862 55836 56727 71816 74448 75636 80793 82512 98747 100848 107724 111672 113454 143632 151272 161586 197494 215448 223344 226908 242379 296241 302544 323172 394988 430896 453816 484758 592482 646344 789976 888723 907632 969516 1184964 1292688 1579952 1777446 1939032 2369928 2666169 3554892 3878064 4739856 5332338 7109784 10664676 14219568 21329352 42658704