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42966620 = 22531371873
BaseRepresentation
bin1010001111100…
…1111001011100
32222211221010022
42203321321130
541444412440
64132531312
71031132054
oct243717134
988757108
1042966620
1122287504
1212480b38
138b94c48
1459c6564
153b8acb5
hex28f9e5c

42966620 has 48 divisors (see below), whose sum is σ = 95708928. Its totient is φ = 16174080.

The previous prime is 42966613. The next prime is 42966643. The reversal of 42966620 is 2666924.

It is a super-2 number, since 2×429666202 = 3692260868448800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22004 + ... + 23876.

It is an arithmetic number, because the mean of its divisors is an integer number (1993936).

Almost surely, 242966620 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 42966620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47854464).

42966620 is an abundant number, since it is smaller than the sum of its proper divisors (52742308).

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

42966620 is a wasteful number, since it uses less digits than its factorization.

42966620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 42966620 is about 6554.8928290247. The cubic root of 42966620 is about 350.2491287514.

The spelling of 42966620 in words is "forty-two million, nine hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 1873 2294 3746 4588 5735 7492 9365 11470 18730 22940 37460 58063 69301 116126 138602 232252 277204 290315 346505 580630 693010 1161260 1386020 2148331 4296662 8593324 10741655 21483310 42966620