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42946566 = 23132337647
BaseRepresentation
bin1010001111010…
…1000000000110
32222210220121120
42203311000012
541443242231
64132254410
71031016435
oct243650006
988726546
1042946566
1122273433
1212471406
138b88a90
1459bd11c
153b84d96
hex28f5006

42946566 has 64 divisors (see below), whose sum is σ = 99283968. Its totient is φ = 12279168.

The previous prime is 42946549. The next prime is 42946567. The reversal of 42946566 is 66564924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42946567) 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, 66055 + ... + 66701.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 242946566 is an apocalyptic number.

42946566 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42946566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984).

42946566 is an abundant number, since it is smaller than the sum of its proper divisors (56337402).

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

42946566 is a wasteful number, since it uses less digits than its factorization.

42946566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its digits is 311040, while the sum is 42.

The square root of 42946566 is about 6553.3629534766. The cubic root of 42946566 is about 350.1946291649.

The spelling of 42946566 in words is "forty-two million, nine hundred forty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 37 39 46 69 74 78 111 138 222 299 481 598 647 851 897 962 1294 1443 1702 1794 1941 2553 2886 3882 5106 8411 11063 14881 16822 22126 23939 25233 29762 33189 44643 47878 50466 66378 71817 89286 143634 193453 311207 386906 550597 580359 622414 933621 1101194 1160718 1651791 1867242 3303582 7157761 14315522 21473283 42946566