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42087870 = 23351137383
BaseRepresentation
bin1010000010001…
…1010110111110
32221012021201000
42200203112332
541233302440
64102031130
71020512106
oct240432676
987167630
1042087870
1121837270
12121184a6
138947c86
145838206
153a65730
hex28235be

42087870 has 128 divisors (see below), whose sum is σ = 126074880. Its totient is φ = 9901440.

The previous prime is 42087823. The next prime is 42087887. The reversal of 42087870 is 7878024.

42087870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420878702 = 3542777602273800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 109699 + ... + 110081.

It is an arithmetic number, because the mean of its divisors is an integer number (984960).

Almost surely, 242087870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42087870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037440).

42087870 is an abundant number, since it is smaller than the sum of its proper divisors (83987010).

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

42087870 is a wasteful number, since it uses less digits than its factorization.

42087870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 42087870 is about 6487.5164739675. The cubic root of 42087870 is about 347.8449071089.

The spelling of 42087870 in words is "forty-two million, eighty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 37 45 54 55 66 74 90 99 110 111 135 165 185 198 222 270 297 330 333 370 383 407 495 555 594 666 766 814 990 999 1110 1149 1221 1485 1665 1915 1998 2035 2298 2442 2970 3330 3447 3663 3830 4070 4213 4995 5745 6105 6894 7326 8426 9990 10341 10989 11490 12210 12639 14171 17235 18315 20682 21065 21978 25278 28342 34470 36630 37917 42130 42513 51705 54945 63195 70855 75834 85026 103410 109890 113751 126390 127539 141710 155881 189585 212565 227502 255078 311762 379170 382617 425130 467643 568755 637695 765234 779405 935286 1137510 1275390 1402929 1558810 1913085 2338215 2805858 3826170 4208787 4676430 7014645 8417574 14029290 21043935 42087870