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4264056 = 2333191039
BaseRepresentation
bin10000010001000001111000
322000122012000
4100101001320
52042422211
6231221000
751146436
oct20210170
98018160
104264056
112452715
121517760
13b63b14
147cdd56
15593656
hex411078

4264056 has 64 divisors (see below), whose sum is σ = 12480000. Its totient is φ = 1345248.

The previous prime is 4264049. The next prime is 4264063. The reversal of 4264056 is 6504624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4264049) and next prime (4264063).

It is a super-2 number, since 2×42640562 = 36364347142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (195000).

Almost surely, 24264056 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 4264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240000).

4264056 is an abundant number, since it is smaller than the sum of its proper divisors (8215944).

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

4264056 is a wasteful number, since it uses less digits than its factorization.

4264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4264056 is about 2064.9590794977. The cubic root of 4264056 is about 162.1589660451.

The spelling of 4264056 in words is "four million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1039 1368 2052 2078 3117 4104 4156 6234 8312 9351 12468 18702 19741 24936 28053 37404 39482 56106 59223 74808 78964 112212 118446 157928 177669 224424 236892 355338 473784 533007 710676 1066014 1421352 2132028 4264056