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42412950 = 2335289353
BaseRepresentation
bin1010000111001…
…0101110010110
32221210210122000
42201302232112
541324203300
64113020130
71023334626
oct241625626
987723560
1042412950
1121a39528
1212254646
138a2cc28
1458c0886
153acbc00
hex2872b96

42412950 has 96 divisors (see below), whose sum is σ = 118519200. Its totient is φ = 11151360.

The previous prime is 42412949. The next prime is 42412957. The reversal of 42412950 is 5921424.

42412950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119974 + ... + 120326.

It is an arithmetic number, because the mean of its divisors is an integer number (1234575).

Almost surely, 242412950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59259600).

42412950 is an abundant number, since it is smaller than the sum of its proper divisors (76106250).

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

42412950 is a wasteful number, since it uses less digits than its factorization.

42412950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42412950 is about 6512.5225527441. The cubic root of 42412950 is about 348.7381774232.

The spelling of 42412950 in words is "forty-two million, four hundred twelve thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 89 90 135 150 178 225 267 270 353 445 450 534 675 706 801 890 1059 1335 1350 1602 1765 2118 2225 2403 2670 3177 3530 4005 4450 4806 5295 6354 6675 8010 8825 9531 10590 12015 13350 15885 17650 19062 20025 24030 26475 31417 31770 40050 47655 52950 60075 62834 79425 94251 95310 120150 157085 158850 188502 238275 282753 314170 471255 476550 565506 785425 848259 942510 1413765 1570850 1696518 2356275 2827530 4241295 4712550 7068825 8482590 14137650 21206475 42412950