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29944416 = 2532711151
BaseRepresentation
bin111001000111…
…0101001100000
32002100100000110
41302032221200
530131210131
62545451320
7512344335
oct162165140
962310013
1029944416
11159a2757
12a040b40
1362858b8
143d9698c
152967646
hex1c8ea60

29944416 has 48 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 9936000.

The previous prime is 29944393. The next prime is 29944423. The reversal of 29944416 is 61444992.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25441 + ... + 26591.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 229944416 is an apocalyptic number.

It is an amenable number.

29944416 is an abundant number, since it is smaller than the sum of its proper divisors (49018272).

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

29944416 is a wasteful number, since it uses less digits than its factorization.

29944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 29944416 is about 5472.1491207751. The cubic root of 29944416 is about 310.5312292746.

The spelling of 29944416 in words is "twenty-nine million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1151 1626 2168 2302 3252 3453 4336 4604 6504 6906 8672 9208 13008 13812 18416 26016 27624 36832 55248 110496 311921 623842 935763 1247684 1871526 2495368 3743052 4990736 7486104 9981472 14972208 29944416