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4246424 = 2371319307
BaseRepresentation
bin10000001100101110011000
321222201222222
4100030232120
52041341144
6231003212
751044150
oct20145630
97881888
104246424
112440446
121509508
13b58aa0
147c7760
1558d2ee
hex40cb98

4246424 has 64 divisors (see below), whose sum is σ = 10348800. Its totient is φ = 1586304.

The previous prime is 4246409. The next prime is 4246433.

4246424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4246393 and 4246402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13679 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (161700).

Almost surely, 24246424 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 4246424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174400).

4246424 is an abundant number, since it is smaller than the sum of its proper divisors (6102376).

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

4246424 is a wasteful number, since it uses less digits than its factorization.

4246424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 4246424 is about 2060.6853228962. The cubic root of 4246424 is about 161.9351465245.

The spelling of 4246424 in words is "four million, two hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 307 364 494 532 614 728 988 1064 1228 1729 1976 2149 2456 3458 3991 4298 5833 6916 7982 8596 11666 13832 15964 17192 23332 27937 31928 40831 46664 55874 75829 81662 111748 151658 163324 223496 303316 326648 530803 606632 1061606 2123212 4246424