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42722700 = 22352178377
BaseRepresentation
bin1010001011111…
…0010110001100
32222101112112020
42202332112030
541414111300
64123410140
71026064656
oct242762614
988345466
1042722700
1122130219
1212383950
138b0ac07
1459616d6
153b3d8a0
hex28be58c

42722700 has 72 divisors (see below), whose sum is σ = 130897872. Its totient is φ = 10721280.

The previous prime is 42722699. The next prime is 42722711. The reversal of 42722700 is 722724.

42722700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 912 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (1818026).

Almost surely, 242722700 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 42722700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65448936).

42722700 is an abundant number, since it is smaller than the sum of its proper divisors (88175172).

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

42722700 is a wasteful number, since it uses less digits than its factorization.

42722700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42722700 is about 6536.2603987295. The cubic root of 42722700 is about 349.5850865595.

Adding to 42722700 its sum of digits (24), we get a palindrome (42722724).

The spelling of 42722700 in words is "forty-two million, seven hundred twenty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 8377 16754 25131 33508 41885 50262 83770 100524 125655 142409 167540 209425 251310 284818 418850 427227 502620 569636 628275 712045 837700 854454 1256550 1424090 1708908 2136135 2513100 2848180 3560225 4272270 7120450 8544540 10680675 14240900 21361350 42722700