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16252144 = 2419193277
BaseRepresentation
bin111101111111…
…110011110000
31010120200202021
4331333303300
513130032034
61340201224
7255066226
oct75776360
933520667
1016252144
1191a0527
125539214
1334a056c
142230b16
1516606b4
hexf7fcf0

16252144 has 40 divisors (see below), whose sum is σ = 33437840. Its totient is φ = 7630848.

The previous prime is 16252133. The next prime is 16252193. The reversal of 16252144 is 44125261.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 58534 + ... + 58810.

It is an arithmetic number, because the mean of its divisors is an integer number (835946).

Almost surely, 216252144 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 16252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718920).

16252144 is an abundant number, since it is smaller than the sum of its proper divisors (17185696).

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

16252144 is a wasteful number, since it uses less digits than its factorization.

16252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 16252144 is about 4031.3947958492. The cubic root of 16252144 is about 253.3009900229.

It can be divided in two parts, 16 and 252144, that multiplied together give a palindrome (4034304).

The spelling of 16252144 in words is "sixteen million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 193 277 304 386 554 772 1108 1544 2216 3088 3667 4432 5263 7334 10526 14668 21052 29336 42104 53461 58672 84208 106922 213844 427688 855376 1015759 2031518 4063036 8126072 16252144