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42377660 = 22513389419
BaseRepresentation
bin1010000110101…
…0000110111100
32221202000012222
42201222012330
541322041120
64112144512
71023130013
oct241520674
987660188
1042377660
1121a14a66
1212238138
138a19b50
1458b1a7a
153ac1525
hex286a1bc

42377660 has 48 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 15569664.

The previous prime is 42377659. The next prime is 42377663. The reversal of 42377660 is 6677324.

It is a self number, because there is not a number n which added to its sum of digits gives 42377660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42377663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100931 + ... + 101349.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 242377660 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 42377660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

42377660 is an abundant number, since it is smaller than the sum of its proper divisors (53936740).

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

42377660 is a wasteful number, since it uses less digits than its factorization.

42377660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 42377660 is about 6509.8125933087. The cubic root of 42377660 is about 348.6414272151.

The spelling of 42377660 in words is "forty-two million, three hundred seventy-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389 419 778 838 1556 1676 1945 2095 3890 4190 5057 5447 7780 8380 10114 10894 20228 21788 25285 27235 50570 54470 101140 108940 162991 325982 651964 814955 1629910 2118883 3259820 4237766 8475532 10594415 21188830 42377660