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444102652 = 227314112479
BaseRepresentation
bin11010011110000…
…111011111111100
31010221122202022101
4122132013133330
51402142241102
6112022354444
714001544630
oct3236073774
91127582271
10444102652
11208758994
1210488ba24
1371013646
1442da4dc0
1528ec5e87
hex1a7877fc

444102652 has 48 divisors (see below), whose sum is σ = 939294720. Its totient is φ = 179683200.

The previous prime is 444102649. The next prime is 444102661. The reversal of 444102652 is 256201444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 444102652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29349 + ... + 41827.

It is an arithmetic number, because the mean of its divisors is an integer number (19568640).

Almost surely, 2444102652 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 444102652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469647360).

444102652 is an abundant number, since it is smaller than the sum of its proper divisors (495192068).

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

444102652 is a wasteful number, since it uses less digits than its factorization.

444102652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 444102652 is about 21073.7431890967. The cubic root of 444102652 is about 762.9471508599.

The spelling of 444102652 in words is "four hundred forty-four million, one hundred two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 868 1148 1271 2542 5084 8897 12479 17794 24958 35588 49916 87353 174706 349412 386849 511639 773698 1023278 1547396 2046556 2707943 3581473 5415886 7162946 10831772 14325892 15860809 31721618 63443236 111025663 222051326 444102652