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42934008 = 233132331193
BaseRepresentation
bin1010001111000…
…1111011111000
32222210021101110
42203301323320
541442342013
64132120320
71030635015
oct243617370
988707343
1042934008
1122264a57
12124660a0
138b83150
1459b870c
153b812c3
hex28f1ef8

42934008 has 128 divisors (see below), whose sum is σ = 125153280. Its totient is φ = 12165120.

The previous prime is 42933997. The next prime is 42934013. The reversal of 42934008 is 80043924.

It is a happy number.

It is a congruent number.

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, 222360 + ... + 222552.

It is an arithmetic number, because the mean of its divisors is an integer number (977760).

Almost surely, 242934008 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 42934008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62576640).

42934008 is an abundant number, since it is smaller than the sum of its proper divisors (82219272).

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

42934008 is a wasteful number, since it uses less digits than its factorization.

42934008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42934008 is about 6552.4047494031. The cubic root of 42934008 is about 350.1604923814.

The spelling of 42934008 in words is "forty-two million, nine hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 31 39 46 52 62 69 78 92 93 104 124 138 156 184 186 193 248 276 299 312 372 386 403 552 579 598 713 744 772 806 897 1158 1196 1209 1426 1544 1612 1794 2139 2316 2392 2418 2509 2852 3224 3588 4278 4439 4632 4836 5018 5704 5983 7176 7527 8556 8878 9269 9672 10036 11966 13317 15054 17112 17756 17949 18538 20072 23932 26634 27807 30108 35512 35898 37076 47864 53268 55614 57707 60216 71796 74152 77779 106536 111228 115414 137609 143592 155558 173121 222456 230828 233337 275218 311116 346242 412827 461656 466674 550436 622232 692484 825654 933348 1100872 1384968 1651308 1788917 1866696 3302616 3577834 5366751 7155668 10733502 14311336 21467004 42934008