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42445940 = 22517127983
BaseRepresentation
bin1010000111101…
…0110001110100
32221212110212212
42201322301310
541331232230
64113432552
71023533045
oct241726164
987773785
1042445940
1121a61299
121226b758
138a41c54
1458cc8cc
153ad6895
hex287ac74

42445940 has 48 divisors (see below), whose sum is σ = 95219712. Its totient is φ = 15837696.

The previous prime is 42445927. The next prime is 42445961. The reversal of 42445940 is 4954424.

42445940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42445897 and 42445906.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42689 + ... + 43671.

It is an arithmetic number, because the mean of its divisors is an integer number (1983744).

Almost surely, 242445940 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 42445940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609856).

42445940 is an abundant number, since it is smaller than the sum of its proper divisors (52773772).

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

42445940 is a wasteful number, since it uses less digits than its factorization.

42445940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42445940 is about 6515.0548731381. The cubic root of 42445940 is about 348.8285734841.

It can be divided in two parts, 424 and 45940, that added together give a palindrome (46364).

The spelling of 42445940 in words is "forty-two million, four hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 983 1270 1966 2159 2540 3932 4318 4915 8636 9830 10795 16711 19660 21590 33422 43180 66844 83555 124841 167110 249682 334220 499364 624205 1248410 2122297 2496820 4244594 8489188 10611485 21222970 42445940