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42998634 = 2337195987
BaseRepresentation
bin1010010000000…
…1101101101010
32222220120001000
42210001231222
542001424014
64133335430
71031324310
oct244015552
988816030
1042998634
11222a9568
1212497576
138ba66a3
1459d40b0
153b95509
hex2901b6a

42998634 has 64 divisors (see below), whose sum is σ = 114969600. Its totient is φ = 11636784.

The previous prime is 42998623. The next prime is 42998671. The reversal of 42998634 is 43689924.

42998634 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 8 + 634 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42998634.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4189 + ... + 10175.

It is an arithmetic number, because the mean of its divisors is an integer number (1796400).

Almost surely, 242998634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42998634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57484800).

42998634 is an abundant number, since it is smaller than the sum of its proper divisors (71970966).

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

42998634 is a wasteful number, since it uses less digits than its factorization.

42998634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6018 counting only the distinct ones).

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

The square root of 42998634 is about 6557.3343669513. The cubic root of 42998634 is about 350.3360961996.

The spelling of 42998634 in words is "forty-two million, nine hundred ninety-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 5987 7182 11974 17961 35922 41909 53883 83818 107766 113753 125727 161649 227506 251454 323298 341259 377181 682518 754362 796271 1023777 1131543 1592542 2047554 2263086 2388813 3071331 4777626 6142662 7166439 14332878 21499317 42998634