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42383616 = 2831129173
BaseRepresentation
bin1010000110101…
…1100100000000
32221202022101120
42201223210000
541322233431
64112232240
71023153252
oct241534400
987668346
1042383616
1121a19490
121223b680
138a1c782
1458b3cd2
153ac3196
hex286b900

42383616 has 144 divisors (see below), whose sum is σ = 128036160. Its totient is φ = 12328960.

The previous prime is 42383599. The next prime is 42383629. The reversal of 42383616 is 61638324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244906 + ... + 245078.

It is an arithmetic number, because the mean of its divisors is an integer number (889140).

Almost surely, 242383616 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 42383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018080).

42383616 is an abundant number, since it is smaller than the sum of its proper divisors (85652544).

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

42383616 is a wasteful number, since it uses less digits than its factorization.

42383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42383616 is about 6510.2700404822. The cubic root of 42383616 is about 348.6577598069.

The spelling of 42383616 in words is "forty-two million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 173 174 176 192 232 256 264 319 346 348 352 384 464 519 528 638 692 696 704 768 928 957 1038 1056 1276 1384 1392 1408 1856 1903 1914 2076 2112 2552 2768 2784 2816 3712 3806 3828 4152 4224 5017 5104 5536 5568 5709 7424 7612 7656 8304 8448 10034 10208 11072 11136 11418 15051 15224 15312 16608 20068 20416 22144 22272 22836 30102 30448 30624 33216 40136 40832 44288 45672 55187 60204 60896 61248 66432 80272 81664 91344 110374 120408 121792 122496 132864 160544 165561 182688 220748 240816 243584 244992 321088 331122 365376 441496 481632 487168 642176 662244 730752 882992 963264 1284352 1324488 1461504 1765984 1926528 2648976 3531968 3853056 5297952 7063936 10595904 14127872 21191808 42383616