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42245064 = 233531701
BaseRepresentation
bin1010000100100…
…1101111001000
32221111021100000
42201021233020
541303320224
64105243000
71022035311
oct241115710
987437300
1042245064
1121934384
1212193460
1389a16a4
145879608
153a970c9
hex2849bc8

42245064 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 13608000.

The previous prime is 42245059. The next prime is 42245069. The reversal of 42245064 is 46054224.

It is an interprime number because it is at equal distance from previous prime (42245059) and next prime (42245069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42245069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59914 + ... + 60614.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 242245064 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 42245064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42245064 is an abundant number, since it is smaller than the sum of its proper divisors (80408376).

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

42245064 is a wasteful number, since it uses less digits than its factorization.

42245064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42245064 is about 6499.6202966019. The cubic root of 42245064 is about 348.2774244393.

Adding to 42245064 its reverse (46054224), we get a palindrome (88299288).

The spelling of 42245064 in words is "forty-two million, two hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 701 744 837 972 1116 1402 1674 1944 2103 2232 2511 2804 3348 4206 5022 5608 6309 6696 7533 8412 10044 12618 15066 16824 18927 20088 21731 25236 30132 37854 43462 50472 56781 60264 65193 75708 86924 113562 130386 151416 170343 173848 195579 227124 260772 340686 391158 454248 521544 586737 681372 782316 1173474 1362744 1564632 1760211 2346948 3520422 4693896 5280633 7040844 10561266 14081688 21122532 42245064