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42949116 = 2234729653
BaseRepresentation
bin1010001111010…
…1100111111100
32222211001010000
42203311213330
541443332431
64132314300
71031030040
oct243654774
988731100
1042949116
1122275341
1212472990
138b89ca2
1459c0020
153b859e6
hex28f59fc

42949116 has 120 divisors (see below), whose sum is σ = 132945120. Its totient is φ = 11829888.

The previous prime is 42949111. The next prime is 42949121. The reversal of 42949116 is 61194924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42949111) and next prime (42949121).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42949111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65446 + ... + 66098.

It is an arithmetic number, because the mean of its divisors is an integer number (1107876).

Almost surely, 242949116 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 42949116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66472560).

42949116 is an abundant number, since it is smaller than the sum of its proper divisors (89996004).

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

42949116 is a wasteful number, since it uses less digits than its factorization.

42949116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 42949116 is about 6553.5575071865. The cubic root of 42949116 is about 350.2015600926.

The spelling of 42949116 in words is "forty-two million, nine hundred forty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 653 756 783 812 1044 1134 1218 1306 1566 1827 1959 2268 2349 2436 2612 3132 3654 3918 4571 4698 5481 5877 7308 7836 9142 9396 10962 11754 13713 16443 17631 18284 18937 21924 23508 27426 32886 35262 37874 41139 52893 54852 56811 65772 70524 75748 82278 105786 113622 123417 132559 164556 170433 211572 227244 246834 265118 340866 370251 397677 493668 511299 530236 681732 740502 795354 1022598 1193031 1481004 1533897 1590708 2045196 2386062 3067794 3579093 4772124 6135588 7158186 10737279 14316372 21474558 42949116