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422093976 = 233236531171
BaseRepresentation
bin11001001010001…
…010010010011000
31002102020121002020
4121022022102120
51331024001401
6105514534440
713313511453
oct3112122230
91072217066
10422093976
111a72964a7
12b9437420
13695a8b65
14400b649a
15270c9d36
hex1928a498

422093976 has 64 divisors (see below), whose sum is σ = 1103742720. Its totient is φ = 134259840.

The previous prime is 422093963. The next prime is 422093989. The reversal of 422093976 is 679390224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422093963) and next prime (422093989).

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 15 ways as a sum of consecutive naturals, for example, 359871 + ... + 361041.

It is an arithmetic number, because the mean of its divisors is an integer number (17245980).

Almost surely, 2422093976 is an apocalyptic number.

422093976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422093976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551871360).

422093976 is an abundant number, since it is smaller than the sum of its proper divisors (681648744).

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

422093976 is a wasteful number, since it uses less digits than its factorization.

422093976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 422093976 is about 20544.9257968969. The cubic root of 422093976 is about 750.1297411106.

The spelling of 422093976 in words is "four hundred twenty-two million, ninety-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 653 1171 1306 1959 2342 2612 3513 3918 4684 5224 7026 7836 9368 14052 15019 15672 26933 28104 30038 45057 53866 60076 80799 90114 107732 120152 161598 180228 215464 323196 360456 646392 764663 1529326 2293989 3058652 4587978 6117304 9175956 17587249 18351912 35174498 52761747 70348996 105523494 140697992 211046988 422093976