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42262479 = 347193923
BaseRepresentation
bin1010000100110…
…1111111001111
32221112011020000
42201031333033
541304344404
64105455343
71022140140
oct241157717
987464200
1042262479
1121946476
12121a1553
1389a95ac
145881ac7
153a9c339
hex284dfcf

42262479 has 40 divisors (see below), whose sum is σ = 75968640. Its totient is φ = 22873104.

The previous prime is 42262471. The next prime is 42262481. The reversal of 42262479 is 97426224.

42262479 is a `hidden beast` number, since 4 + 22 + 624 + 7 + 9 = 666.

It is not a de Polignac number, because 42262479 - 23 = 42262471 is a prime.

It is a super-3 number, since 3×422624793 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8812 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (1899216).

Almost surely, 242262479 is an apocalyptic number.

42262479 is a deficient number, since it is larger than the sum of its proper divisors (33706161).

42262479 is a wasteful number, since it uses less digits than its factorization.

42262479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3952 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42262479 is about 6500.9598522064. The cubic root of 42262479 is about 348.3252755373.

The spelling of 42262479 in words is "forty-two million, two hundred sixty-two thousand, four hundred seventy-nine".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 3923 10773 11769 27461 35307 74537 82383 105921 223611 247149 317763 521759 670833 741447 1565277 2012499 2224341 4695831 6037497 14087493 42262479