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49242942 = 23272311801
BaseRepresentation
bin1011101111011…
…0001100111110
310102122210121200
42323312030332
5100101233232
64515240330
71135362300
oct273661476
9112583550
1049242942
1125883a51
12145a90a6
13a281948
14677b970
1544ca77c
hex2ef633e

49242942 has 72 divisors (see below), whose sum is σ = 128187072. Its totient is φ = 13608000.

The previous prime is 49242847. The next prime is 49242971. The reversal of 49242942 is 24924294.

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 junction number, because it is equal to n+sod(n) for n = 49242897 and 49242906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26442 + ... + 28242.

It is an arithmetic number, because the mean of its divisors is an integer number (1780376).

Almost surely, 249242942 is an apocalyptic number.

49242942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 49242942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64093536).

49242942 is an abundant number, since it is smaller than the sum of its proper divisors (78944130).

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

49242942 is a wasteful number, since it uses less digits than its factorization.

49242942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1844 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49242942 is about 7017.3315441128. The cubic root of 49242942 is about 366.5343355345.

It can be divided in two parts, 492 and 42942, that added together give a palindrome (43434).

The spelling of 49242942 in words is "forty-nine million, two hundred forty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1801 1953 3038 3602 3906 4557 5403 9114 10806 12607 13671 16209 25214 27342 32418 37821 55831 75642 88249 111662 113463 167493 176498 226926 264747 334986 390817 502479 529494 781634 794241 1004958 1172451 1588482 2344902 2735719 3517353 5471438 7034706 8207157 16414314 24621471 49242942