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42671488 = 274147173
BaseRepresentation
bin1010001011000…
…1110110000000
32222021221021111
42202301312000
541410441423
64122333104
71025462446
oct242616600
988257244
1042671488
11220a57a2
121235a194
138ac0802
14594ab96
153b2d60d
hex28b1d80

42671488 has 64 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 20254720.

The previous prime is 42671483. The next prime is 42671491. The reversal of 42671488 is 88417624.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42671488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42671483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246570 + ... + 246742.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 242671488 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 42671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

42671488 is an abundant number, since it is smaller than the sum of its proper divisors (46778432).

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

42671488 is a wasteful number, since it uses less digits than its factorization.

42671488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 42671488 is about 6532.3416934511. The cubic root of 42671488 is about 349.4453473445.

The spelling of 42671488 in words is "forty-two million, six hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 128 164 173 188 328 346 376 656 692 752 1312 1384 1504 1927 2624 2768 3008 3854 5248 5536 6016 7093 7708 8131 11072 14186 15416 16262 22144 28372 30832 32524 56744 61664 65048 113488 123328 130096 226976 246656 260192 333371 453952 520384 666742 907904 1040768 1333484 2666968 5333936 10667872 21335744 42671488