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29941216 = 2517232393
BaseRepresentation
bin111001000110…
…1110111100000
32002100011121221
41302031313200
530131104331
62545424424
7512332114
oct162156740
962304557
1029941216
11159a0308
12a03b114
1362842c6
143d95744
152966711
hex1c8dde0

29941216 has 48 divisors (see below), whose sum is σ = 65155104. Its totient is φ = 13471744.

The previous prime is 29941211. The next prime is 29941217. The reversal of 29941216 is 61214992.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29941211) by changing a digit.

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, 11316 + ... + 13708.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 229941216 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 29941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

29941216 is an abundant number, since it is smaller than the sum of its proper divisors (35213888).

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

29941216 is a wasteful number, since it uses less digits than its factorization.

29941216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 29941216 is about 5471.8567232704. The cubic root of 29941216 is about 310.5201672752.

The spelling of 29941216 in words is "twenty-nine million, nine hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 2393 3128 4786 6256 9572 12512 19144 38288 40681 55039 76576 81362 110078 162724 220156 325448 440312 650896 880624 935663 1301792 1761248 1871326 3742652 7485304 14970608 29941216