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42496566 = 23717531123
BaseRepresentation
bin1010001000011…
…1001000110110
32221222001022220
42202013020312
541334342231
64114503210
71024133460
oct242071066
987861286
1042496566
1121a96332
1212294b06
138a5bcc8
145903130
153ae6896
hex2887236

42496566 has 64 divisors (see below), whose sum is σ = 104882688. Its totient is φ = 11202048.

The previous prime is 42496561. The next prime is 42496589. The reversal of 42496566 is 66569424.

42496566 = T281 + T282 + ... + T651.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42496561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37281 + ... + 38403.

It is an arithmetic number, because the mean of its divisors is an integer number (1638792).

Almost surely, 242496566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42496566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52441344).

42496566 is an abundant number, since it is smaller than the sum of its proper divisors (62386122).

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

42496566 is a wasteful number, since it uses less digits than its factorization.

42496566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

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

The square root of 42496566 is about 6518.9390241051. The cubic root of 42496566 is about 348.9672029891.

The spelling of 42496566 in words is "forty-two million, four hundred ninety-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 238 318 357 371 714 742 901 1113 1123 1802 2226 2246 2703 3369 5406 6307 6738 7861 12614 15722 18921 19091 23583 37842 38182 47166 57273 59519 114546 119038 133637 178557 267274 357114 400911 416633 801822 833266 1011823 1249899 2023646 2499798 3035469 6070938 7082761 14165522 21248283 42496566