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42406749 = 3271125563
BaseRepresentation
bin1010000111000…
…1001101011101
32221210111010100
42201301031131
541324003444
64112531313
71023310560
oct241611535
987714110
1042406749
1121a34900
1212250b39
138a2a168
1458bc4d7
153ac9e69
hex287135d

42406749 has 36 divisors (see below), whose sum is σ = 76961248. Its totient is φ = 22025520.

The previous prime is 42406747. The next prime is 42406757. The reversal of 42406749 is 94760424.

42406749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42406749 - 21 = 42406747 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4842 + ... + 10404.

Almost surely, 242406749 is an apocalyptic number.

It is an amenable number.

42406749 is a deficient number, since it is larger than the sum of its proper divisors (34554499).

42406749 is a wasteful number, since it uses less digits than its factorization.

42406749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5584 counting only the distinct ones).

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

The square root of 42406749 is about 6512.0464525370. The cubic root of 42406749 is about 348.7211807997.

The spelling of 42406749 in words is "forty-two million, four hundred six thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 5563 7623 16689 38941 50067 61193 116823 183579 350469 428351 550737 673123 1285053 2019369 3855159 4711861 6058107 14135583 42406749