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42242802 = 2372532711
BaseRepresentation
bin1010000100100…
…1001011110010
32221111011020020
42201021023302
541303232202
64105224310
71022025600
oct241111362
987434206
1042242802
1121932708
1212192096
1389a0654
145878870
153a965bc
hex28492f2

42242802 has 48 divisors (see below), whose sum is σ = 100170432. Its totient is φ = 11837280.

The previous prime is 42242729. The next prime is 42242803. The reversal of 42242802 is 20824224.

It is a super-2 number, since 2×422428022 = 3568908641622408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42242803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14227 + ... + 16937.

It is an arithmetic number, because the mean of its divisors is an integer number (2086884).

Almost surely, 242242802 is an apocalyptic number.

42242802 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 42242802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50085216).

42242802 is an abundant number, since it is smaller than the sum of its proper divisors (57927630).

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

42242802 is a wasteful number, since it uses less digits than its factorization.

42242802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42242802 is about 6499.4462841076. The cubic root of 42242802 is about 348.2712081897.

The spelling of 42242802 in words is "forty-two million, two hundred forty-two thousand, eight hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 2711 5194 5422 7791 8133 15582 16266 18977 37954 56931 113862 132839 143683 265678 287366 398517 431049 797034 862098 1005781 2011562 3017343 6034686 7040467 14080934 21121401 42242802