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42959250 = 2325361313
BaseRepresentation
bin1010001111100…
…0000110010010
32222211120000100
42203320012102
541444144000
64132433230
71031101425
oct243700622
988746010
1042959250
1122281a14
1212478816
138b91799
1459c39bc
153b88a00
hex28f8192

42959250 has 96 divisors (see below), whose sum is σ = 118443312. Its totient is φ = 11232000.

The previous prime is 42959249. The next prime is 42959251. The reversal of 42959250 is 5295924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42959249) and next prime (42959251).

It can be written as a sum of positive squares in 8 ways, for example, as 8982009 + 33977241 = 2997^2 + 5829^2 .

It is not an unprimeable number, because it can be changed into a prime (42959251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137094 + ... + 137406.

Almost surely, 242959250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42959250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59221656).

42959250 is an abundant number, since it is smaller than the sum of its proper divisors (75484062).

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

42959250 is a wasteful number, since it uses less digits than its factorization.

42959250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 42959250 is about 6554.3306294388. The cubic root of 42959250 is about 350.2291017034.

The spelling of 42959250 in words is "forty-two million, nine hundred fifty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 125 150 183 225 250 305 313 366 375 450 549 610 626 750 915 939 1098 1125 1525 1565 1830 1878 2250 2745 2817 3050 3130 4575 4695 5490 5634 7625 7825 9150 9390 13725 14085 15250 15650 19093 22875 23475 27450 28170 38186 39125 45750 46950 57279 68625 70425 78250 95465 114558 117375 137250 140850 171837 190930 234750 286395 343674 352125 477325 572790 704250 859185 954650 1431975 1718370 2386625 2863950 4295925 4773250 7159875 8591850 14319750 21479625 42959250