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42464682 = 23313241251
BaseRepresentation
bin1010000111111…
…1010110101010
32221220102121000
42201333112222
541332332212
64114055430
71023641511
oct241772652
987812530
1042464682
1121a74387
121227a576
138a4a640
1458d5678
153adc1dc
hex287f5aa

42464682 has 64 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 12960000.

The previous prime is 42464629. The next prime is 42464683. The reversal of 42464682 is 28646424.

It is a happy number.

42464682 is a `hidden beast` number, since 4 + 2 + 4 + 646 + 8 + 2 = 666.

It is a super-2 number, since 2×424646822 = 3606498434722248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42464683) 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, 169057 + ... + 169307.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 242464682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42464682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

42464682 is an abundant number, since it is smaller than the sum of its proper divisors (59988438).

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

42464682 is a wasteful number, since it uses less digits than its factorization.

42464682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 42464682 is about 6516.4930752668. The cubic root of 42464682 is about 348.8799076683.

The spelling of 42464682 in words is "forty-two million, four hundred sixty-four thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 241 251 351 482 502 702 723 753 1446 1506 2169 2259 3133 3263 4338 4518 6266 6507 6526 6777 9399 9789 13014 13554 18798 19578 28197 29367 56394 58734 60491 84591 88101 120982 169182 176202 181473 362946 544419 786383 1088838 1572766 1633257 2359149 3266514 4718298 7077447 14154894 21232341 42464682