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42087864 = 23372132753
BaseRepresentation
bin1010000010001…
…1010110111000
32221012021200210
42200203112320
541233302424
64102031120
71020512100
oct240432670
987167623
1042087864
1121837265
12121184a0
138947c80
145838200
153a65729
hex28235b8

42087864 has 96 divisors (see below), whose sum is σ = 131861520. Its totient is φ = 11096064.

The previous prime is 42087823. The next prime is 42087887. The reversal of 42087864 is 46878024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13912 + ... + 16664.

Almost surely, 242087864 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 42087864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930760).

42087864 is an abundant number, since it is smaller than the sum of its proper divisors (89773656).

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

42087864 is a wasteful number, since it uses less digits than its factorization.

42087864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42087864 is about 6487.5160115409. The cubic root of 42087864 is about 347.8448905795.

The spelling of 42087864 in words is "forty-two million, eighty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 2753 3822 5096 5506 7644 8259 11012 15288 16518 19271 22024 33036 35789 38542 57813 66072 71578 77084 107367 115626 134897 143156 154168 214734 231252 250523 269794 286312 404691 429468 462504 501046 539588 751569 809382 858936 1002092 1079176 1503138 1618764 1753661 2004184 3006276 3237528 3507322 5260983 6012552 7014644 10521966 14029288 21043932 42087864