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42823620 = 22335711329
BaseRepresentation
bin1010001101011…
…0111111000100
32222120122222000
42203112333010
541430323440
64125505300
71026665130
oct243267704
988518860
1042823620
112219a024
1212412230
138b44b28
14598a3c0
153b5d730
hex28d6fc4

42823620 has 96 divisors (see below), whose sum is σ = 152275200. Its totient is φ = 9787392.

The previous prime is 42823619. The next prime is 42823621. The reversal of 42823620 is 2632824.

42823620 is a `hidden beast` number, since 428 + 236 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42823619) and next prime (42823621).

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 (42823621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885 + ... + 9444.

It is an arithmetic number, because the mean of its divisors is an integer number (1586200).

Almost surely, 242823620 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 42823620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76137600).

42823620 is an abundant number, since it is smaller than the sum of its proper divisors (109451580).

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

42823620 is a wasteful number, since it uses less digits than its factorization.

42823620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42823620 is about 6543.9758557012. The cubic root of 42823620 is about 349.8601345913.

The spelling of 42823620 in words is "forty-two million, eight hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11329 22658 33987 45316 56645 67974 79303 101961 113290 135948 158606 169935 203922 226580 237909 305883 317212 339870 396515 407844 475818 509805 611766 679740 713727 793030 951636 1019610 1189545 1223532 1427454 1529415 1586060 2039220 2141181 2379090 2854908 3058830 3568635 4282362 4758180 6117660 7137270 8564724 10705905 14274540 21411810 42823620