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42730116 = 223111337673
BaseRepresentation
bin1010001100000…
…0001010000100
32222101220200220
42203000022010
541414330431
64123504340
71026125412
oct243001204
988356626
1042730116
1122135850
12123880b0
138b113c0
1459642b2
153b40b96
hex28c0284

42730116 has 96 divisors (see below), whose sum is σ = 120478848. Its totient is φ = 11612160.

The previous prime is 42730109. The next prime is 42730117. The reversal of 42730116 is 61103724.

It is not an unprimeable number, because it can be changed into a prime (42730117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63156 + ... + 63828.

It is an arithmetic number, because the mean of its divisors is an integer number (1254988).

Almost surely, 242730116 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 42730116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60239424).

42730116 is an abundant number, since it is smaller than the sum of its proper divisors (77748732).

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

42730116 is a wasteful number, since it uses less digits than its factorization.

42730116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42730116 is about 6536.8276709731. The cubic root of 42730116 is about 349.6053129107.

The spelling of 42730116 in words is "forty-two million, seven hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 111 132 143 148 156 222 286 407 429 444 481 572 673 814 858 962 1221 1346 1443 1628 1716 1924 2019 2442 2692 2886 4038 4884 5291 5772 7403 8076 8749 10582 14806 15873 17498 21164 22209 24901 26247 29612 31746 34996 44418 49802 52494 63492 74703 88836 96239 99604 104988 149406 192478 273911 288717 298812 323713 384956 547822 577434 647426 821733 971139 1095644 1154868 1294852 1643466 1942278 3286932 3560843 3884556 7121686 10682529 14243372 21365058 42730116