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42867840 = 273583269
BaseRepresentation
bin1010001110000…
…1110010000000
32222122220121210
42203201302000
541433232330
64130450120
71030241061
oct243416200
988586553
1042867840
112221a274
1212433940
138b5bcb2
14599c568
153b6b8b0
hex28e1c80

42867840 has 128 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 11251712.

The previous prime is 42867827. The next prime is 42867841. The reversal of 42867840 is 4876824.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42867841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159226 + ... + 159494.

Almost surely, 242867840 is an apocalyptic number.

42867840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

42867840 is an abundant number, since it is smaller than the sum of its proper divisors (95933760).

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

42867840 is a wasteful number, since it uses less digits than its factorization.

42867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

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

The square root of 42867840 is about 6547.3536638859. The cubic root of 42867840 is about 349.9805159222.

The spelling of 42867840 in words is "forty-two million, eight hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 269 320 332 384 415 480 498 538 640 664 807 830 960 996 1076 1245 1328 1345 1614 1660 1920 1992 2152 2490 2656 2690 3228 3320 3984 4035 4304 4980 5312 5380 6456 6640 7968 8070 8608 9960 10624 10760 12912 13280 15936 16140 17216 19920 21520 22327 25824 26560 31872 32280 34432 39840 43040 44654 51648 53120 64560 66981 79680 86080 89308 103296 111635 129120 133962 159360 172160 178616 223270 258240 267924 334905 357232 446540 516480 535848 669810 714464 893080 1071696 1339620 1428928 1786160 2143392 2679240 2857856 3572320 4286784 5358480 7144640 8573568 10716960 14289280 21433920 42867840