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42489664 = 267217797
BaseRepresentation
bin1010001000010…
…1011101000000
32221221200212021
42202011131000
541334132124
64114411224
71024104400
oct242053500
987850767
1042489664
1121a91128
1212290b14
138a58b19
145900800
153ae47e4
hex2885740

42489664 has 84 divisors (see below), whose sum is σ = 103980996. Its totient is φ = 17117184.

The previous prime is 42489641. The next prime is 42489677. The reversal of 42489664 is 46698424.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 15366400 = 5208^2 + 3920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42489664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52914 + ... + 53710.

It is an arithmetic number, because the mean of its divisors is an integer number (1237869).

Almost surely, 242489664 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 42489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51990498).

42489664 is an abundant number, since it is smaller than the sum of its proper divisors (61491332).

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

42489664 is a wasteful number, since it uses less digits than its factorization.

42489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 823 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 42489664 is about 6518.4096219860. The cubic root of 42489664 is about 348.9483096818.

The spelling of 42489664 in words is "forty-two million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 797 833 952 1088 1568 1594 1666 1904 3136 3188 3332 3808 5579 6376 6664 7616 11158 12752 13328 13549 22316 25504 26656 27098 39053 44632 51008 53312 54196 78106 89264 94843 108392 156212 178528 189686 216784 312424 357056 379372 433568 624848 663901 758744 867136 1249696 1327802 1517488 2499392 2655604 3034976 5311208 6069952 10622416 21244832 42489664