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42722520 = 2335734877
BaseRepresentation
bin1010001011111…
…0010011011000
32222101112021120
42202332103120
541414110040
64123405240
71026064311
oct242762330
988345246
1042722520
1122130075
1212383820
138b0aac9
145961608
153b3d7d0
hex28be4d8

42722520 has 64 divisors (see below), whose sum is σ = 129949920. Its totient is φ = 11234304.

The previous prime is 42722503. The next prime is 42722527. The reversal of 42722520 is 2522724.

42722520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42722527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6322 + ... + 11198.

Almost surely, 242722520 is an apocalyptic number.

42722520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42722520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64974960).

42722520 is an abundant number, since it is smaller than the sum of its proper divisors (87227400).

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

42722520 is a wasteful number, since it uses less digits than its factorization.

42722520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42722520 is about 6536.2466293738. The cubic root of 42722520 is about 349.5845955995.

The spelling of 42722520 in words is "forty-two million, seven hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 4877 8760 9754 14631 19508 24385 29262 39016 48770 58524 73155 97540 117048 146310 195080 292620 356021 585240 712042 1068063 1424084 1780105 2136126 2848168 3560210 4272252 5340315 7120420 8544504 10680630 14240840 21361260 42722520