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42975846 = 234311853
BaseRepresentation
bin1010001111110…
…0001001100110
32222212101210000
42203330021212
542000211341
64133042130
71031201004
oct243741146
988771700
1042975846
1122293431
1212486346
138b991c4
1459c9a74
153b8d8b6
hex28fc266

42975846 has 40 divisors (see below), whose sum is σ = 96720624. Its totient is φ = 14262480.

The previous prime is 42975811. The next prime is 42975851. The reversal of 42975846 is 64857924.

It is a happy number.

42975846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 49956 + ... + 50808.

Almost surely, 242975846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42975846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360312).

42975846 is an abundant number, since it is smaller than the sum of its proper divisors (53744778).

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

42975846 is a wasteful number, since it uses less digits than its factorization.

42975846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42975846 is about 6555.5965403615. The cubic root of 42975846 is about 350.2741960184.

The spelling of 42975846 in words is "forty-two million, nine hundred seventy-five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 853 933 1706 1866 2559 2799 5118 5598 7677 8397 15354 16794 23031 25191 46062 50382 69093 138186 265283 530566 795849 1591698 2387547 4775094 7162641 14325282 21487923 42975846