Search a number
-
+
42141708 = 22347171093
BaseRepresentation
bin1010000011000…
…0100000001100
32221022000120000
42200300200030
541242013313
64103124300
71021125060
oct240604014
987260500
1042141708
1121873764
1212143690
13896662b
14584daa0
153a76673
hex283080c

42141708 has 120 divisors (see below), whose sum is σ = 133432992. Its totient is φ = 11321856.

The previous prime is 42141707. The next prime is 42141709. The reversal of 42141708 is 80714124.

It is an interprime number because it is at equal distance from previous prime (42141707) and next prime (42141709).

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

It is not an unprimeable number, because it can be changed into a prime (42141703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38010 + ... + 39102.

Almost surely, 242141708 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 42141708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66716496).

42141708 is an abundant number, since it is smaller than the sum of its proper divisors (91291284).

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

42141708 is a wasteful number, since it uses less digits than its factorization.

42141708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 42141708 is about 6491.6645014973. The cubic root of 42141708 is about 347.9931627670.

It can be divided in two parts, 42141 and 708, that added together give a square (42849 = 2072).

The spelling of 42141708 in words is "forty-two million, one hundred forty-one thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1093 1134 1377 1428 1836 2142 2186 2268 2754 3213 3279 4284 4372 5508 6426 6558 7651 9639 9837 12852 13116 15302 18581 19278 19674 22953 29511 30604 37162 38556 39348 45906 55743 59022 68859 74324 88533 91812 111486 118044 130067 137718 167229 177066 206577 222972 260134 275436 334458 354132 390201 413154 501687 520268 619731 668916 780402 826308 1003374 1170603 1239462 1505061 1560804 2006748 2341206 2478924 3010122 3511809 4682412 6020244 7023618 10535427 14047236 21070854 42141708