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42832660 = 225131511091
BaseRepresentation
bin1010001101100…
…1001100010100
32222121010100211
42203121030110
541431121120
64130015204
71030033363
oct243311424
988533324
1042832660
11221a58a2
1212417504
138b48c90
14598d7da
153b6125a
hex28d9314

42832660 has 48 divisors (see below), whose sum is σ = 97598592. Its totient is φ = 15696000.

The previous prime is 42832637. The next prime is 42832697. The reversal of 42832660 is 6623824.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38715 + ... + 39805.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 242832660 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 42832660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799296).

42832660 is an abundant number, since it is smaller than the sum of its proper divisors (54765932).

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

42832660 is a wasteful number, since it uses less digits than its factorization.

42832660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 42832660 is about 6544.6665308478. Note that the first 3 decimals coincide. The cubic root of 42832660 is about 349.8847511704.

The spelling of 42832660 in words is "forty-two million, eight hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1091 1510 1963 2182 3020 3926 4364 5455 7852 9815 10910 14183 19630 21820 28366 39260 56732 70915 141830 164741 283660 329482 658964 823705 1647410 2141633 3294820 4283266 8566532 10708165 21416330 42832660