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42676224 = 212323151
BaseRepresentation
bin1010001011001…
…1000000000000
32222022011202220
42202303000000
541411114344
64122411040
71025512323
oct242630000
988264686
1042676224
11220a9308
1212360a80
138ac2a06
14594c7ba
153b2ec19
hex28b3000

42676224 has 104 divisors (see below), whose sum is σ = 119523072. Its totient is φ = 13516800.

The previous prime is 42676219. The next prime is 42676241. The reversal of 42676224 is 42267624.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 282549 + ... + 282699.

Almost surely, 242676224 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 42676224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761536).

42676224 is an abundant number, since it is smaller than the sum of its proper divisors (76846848).

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

42676224 is a wasteful number, since it uses less digits than its factorization.

42676224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 42676224 is about 6532.7041873944. The cubic root of 42676224 is about 349.4582748832.

The spelling of 42676224 in words is "forty-two million, six hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 151 184 192 256 276 302 368 384 453 512 552 604 736 768 906 1024 1104 1208 1472 1536 1812 2048 2208 2416 2944 3072 3473 3624 4096 4416 4832 5888 6144 6946 7248 8832 9664 10419 11776 12288 13892 14496 17664 19328 20838 23552 27784 28992 35328 38656 41676 47104 55568 57984 70656 77312 83352 94208 111136 115968 141312 154624 166704 222272 231936 282624 309248 333408 444544 463872 618496 666816 889088 927744 1333632 1778176 1855488 2667264 3556352 5334528 7112704 10669056 14225408 21338112 42676224