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4122336 = 253231867
BaseRepresentation
bin1111101110011011100000
321202102210010
433232123200
52023403321
6224204520
750016321
oct17563340
97672703
104122336
112366199
121469740
13b1446a
14794448
15566676
hex3ee6e0

4122336 has 48 divisors (see below), whose sum is σ = 11297664. Its totient is φ = 1313664.

The previous prime is 4122329. The next prime is 4122343. The reversal of 4122336 is 6332214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4122329) and next prime (4122343).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (235368).

Almost surely, 24122336 is an apocalyptic number.

4122336 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 4122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648832).

4122336 is an abundant number, since it is smaller than the sum of its proper divisors (7175328).

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

4122336 is a wasteful number, since it uses less digits than its factorization.

4122336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1895 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 4122336 is about 2030.3536637739. The cubic root of 4122336 is about 160.3421843317.

The spelling of 4122336 in words is "four million, one hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1867 2208 3734 5601 7468 11202 14936 22404 29872 42941 44808 59744 85882 89616 128823 171764 179232 257646 343528 515292 687056 1030584 1374112 2061168 4122336