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42706872 = 23331367227
BaseRepresentation
bin1010001011101…
…0011110111000
32222100201211000
42202322132320
541413104442
64123205000
71026000555
oct242723670
988321730
1042706872
112211a33a
1212376760
138b03950
145959a2c
153b38d4c
hex28ba7b8

42706872 has 128 divisors (see below), whose sum is σ = 130233600. Its totient is φ = 12887424.

The previous prime is 42706799. The next prime is 42706913. The reversal of 42706872 is 27860724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188023 + ... + 188249.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 242706872 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 42706872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

42706872 is an abundant number, since it is smaller than the sum of its proper divisors (87526728).

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

42706872 is a wasteful number, since it uses less digits than its factorization.

42706872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42706872 is about 6535.0495024904. The cubic root of 42706872 is about 349.5419095426.

The spelling of 42706872 in words is "forty-two million, seven hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 108 117 134 156 201 216 227 234 268 312 351 402 454 468 536 603 681 702 804 871 908 936 1206 1362 1404 1608 1742 1809 1816 2043 2412 2613 2724 2808 2951 3484 3618 4086 4824 5226 5448 5902 6129 6968 7236 7839 8172 8853 10452 11804 12258 14472 15209 15678 16344 17706 20904 23517 23608 24516 26559 30418 31356 35412 45627 47034 49032 53118 60836 62712 70824 79677 91254 94068 106236 121672 136881 159354 182508 188136 197717 212472 273762 318708 365016 395434 410643 547524 593151 637416 790868 821286 1095048 1186302 1581736 1642572 1779453 2372604 3285144 3558906 4745208 5338359 7117812 10676718 14235624 21353436 42706872