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501282012 = 2237111134801
BaseRepresentation
bin11101111000001…
…111010011011100
31021221020202122110
4131320033103130
52011312011022
6121424114020
715264553410
oct3570172334
91257222573
10501282012
11237a62660
1211ba65910
137cb1379a
144a80ad40
152e01d00c
hex1de0f4dc

501282012 has 96 divisors (see below), whose sum is σ = 1471486464. Its totient is φ = 129024000.

The previous prime is 501281981. The next prime is 501282049. The reversal of 501282012 is 210282105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 501282012.

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 31 ways as a sum of consecutive naturals, for example, 102012 + ... + 106812.

It is an arithmetic number, because the mean of its divisors is an integer number (15327984).

Almost surely, 2501282012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501282012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735743232).

501282012 is an abundant number, since it is smaller than the sum of its proper divisors (970204452).

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

501282012 is a wasteful number, since it uses less digits than its factorization.

501282012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 501282012 is about 22389.3280828166. The cubic root of 501282012 is about 794.3783027676.

The spelling of 501282012 in words is "five hundred one million, two hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 678 791 924 1243 1356 1582 2373 2486 3164 3729 4746 4801 4972 7458 8701 9492 9602 14403 14916 17402 19204 26103 28806 33607 34804 52206 52811 57612 67214 100821 104412 105622 134428 158433 201642 211244 316866 369677 403284 542513 633732 739354 1085026 1109031 1478708 1627539 2170052 2218062 3255078 3797591 4436124 5967643 6510156 7595182 11392773 11935286 15190364 17902929 22785546 23870572 35805858 41773501 45571092 71611716 83547002 125320503 167094004 250641006 501282012