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42049536 = 21332959
BaseRepresentation
bin1010000001101…
…0000000000000
32221010100010020
42200122000000
541231041121
64101133440
71020262254
oct240320000
987110106
1042049536
1121810491
12120ba280
1389336a9
145828264
153a591c6
hex281a000

42049536 has 112 divisors (see below), whose sum is σ = 117957600. Its totient is φ = 13303808.

The previous prime is 42049529. The next prime is 42049541. The reversal of 42049536 is 63594024.

It is a junction number, because it is equal to n+sod(n) for n = 42049497 and 42049506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712675 + ... + 712733.

Almost surely, 242049536 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 42049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58978800).

42049536 is an abundant number, since it is smaller than the sum of its proper divisors (75908064).

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

42049536 is an equidigital number, since it uses as much as digits as its factorization.

42049536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 42049536 is about 6484.5613575631. The cubic root of 42049536 is about 347.7392683026.

The spelling of 42049536 in words is "forty-two million, forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 128 174 177 192 232 236 256 348 354 384 464 472 512 696 708 768 928 944 1024 1392 1416 1536 1711 1856 1888 2048 2784 2832 3072 3422 3712 3776 4096 5133 5568 5664 6144 6844 7424 7552 8192 10266 11136 11328 12288 13688 14848 15104 20532 22272 22656 24576 27376 29696 30208 41064 44544 45312 54752 59392 60416 82128 89088 90624 109504 118784 120832 164256 178176 181248 219008 237568 241664 328512 356352 362496 438016 483328 657024 712704 724992 876032 1314048 1449984 1752064 2628096 3504128 5256192 7008256 10512384 14016512 21024768 42049536