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42388626 = 237343479
BaseRepresentation
bin1010000110110…
…0110010010010
32221202120021010
42201230302102
541322414001
64112311350
71023204000
oct241546222
987676233
1042388626
1121a22225
1212242556
138a21b37
1458b5a70
153ac48d6
hex286cc92

42388626 has 64 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 11804688.

The previous prime is 42388613. The next prime is 42388637. The reversal of 42388626 is 62688324.

It is a super-2 number, since 2×423886262 = 3593591228335752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 88255 + ... + 88733.

It is an arithmetic number, because the mean of its divisors is an integer number (1584000).

Almost surely, 242388626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42388626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

42388626 is an abundant number, since it is smaller than the sum of its proper divisors (58987374).

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

42388626 is a wasteful number, since it uses less digits than its factorization.

42388626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 42388626 is about 6510.6548057780. The cubic root of 42388626 is about 348.6714970849.

The spelling of 42388626 in words is "forty-two million, three hundred eighty-eight thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 343 479 602 686 903 958 1029 1437 1806 2058 2107 2874 3353 4214 6321 6706 10059 12642 14749 20118 20597 23471 29498 41194 44247 46942 61791 70413 88494 123582 140826 144179 164297 288358 328594 432537 492891 865074 985782 1009253 2018506 3027759 6055518 7064771 14129542 21194313 42388626