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42021616 = 2473131931
BaseRepresentation
bin1010000001001…
…1001011110000
32221001220211011
42200103023300
541224142431
64100400304
71020115000
oct240231360
987056734
1042021616
11217a150a
12120a6094
138923a80
14581c000
153a50cb1
hex28132f0

42021616 has 160 divisors (see below), whose sum is σ = 111104000. Its totient is φ = 15240960.

The previous prime is 42021613. The next prime is 42021641. The reversal of 42021616 is 61612024.

It is a super-2 number, since 2×420216162 = 3531632422502912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355521 + ... + 1355551.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 242021616 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 42021616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552000).

42021616 is an abundant number, since it is smaller than the sum of its proper divisors (69082384).

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

42021616 is a wasteful number, since it uses less digits than its factorization.

42021616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42021616 is about 6482.4081944907. The cubic root of 42021616 is about 347.6622874294.

The spelling of 42021616 in words is "forty-two million, twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 31 38 49 52 56 62 76 91 98 104 112 124 133 152 182 196 208 217 247 248 266 304 343 364 392 403 434 494 496 532 589 637 686 728 784 806 868 931 988 1064 1178 1274 1372 1456 1519 1612 1729 1736 1862 1976 2128 2356 2548 2744 2821 3038 3224 3458 3472 3724 3952 4123 4459 4712 5096 5488 5642 6076 6448 6517 6916 7448 7657 8246 8918 9424 10192 10633 11284 12103 12152 13034 13832 14896 15314 16492 17836 19747 21266 22568 24206 24304 26068 27664 28861 30628 32984 35672 39494 42532 45136 48412 52136 53599 57722 61256 65968 71344 78988 84721 85064 96824 104272 107198 115444 122512 138229 157976 169442 170128 193648 202027 214396 230888 276458 315952 338884 375193 404054 428792 461776 552916 677768 750386 808108 857584 1105832 1355536 1500772 1616216 2211664 2626351 3001544 3232432 5252702 6003088 10505404 21010808 42021616