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29116816 = 24192712
BaseRepresentation
bin110111100010…
…0100110010000
32000210021202121
41233010212100
524423214231
62520024024
7502326451
oct157044620
960707677
1029116816
1115487993
129902014
136055cb1
143c1d128
152852311
hex1bc4990

29116816 has 45 divisors (see below), whose sum is σ = 60389643. Its totient is φ = 13597920.

The previous prime is 29116811. The next prime is 29116819. The reversal of 29116816 is 61861192.

The square root of 29116816 is 5396.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29116811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 410061 + ... + 410131.

Almost surely, 229116816 is an apocalyptic number.

29116816 is the 5396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29116816

29116816 is an abundant number, since it is smaller than the sum of its proper divisors (31272827).

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

29116816 is an equidigital number, since it uses as much as digits as its factorization.

29116816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 92 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The cubic root of 29116816 is about 307.6436537685.

Multiplying 29116816 by its product of digits (5184), we get a square (150941574144 = 3885122).

The spelling of 29116816 in words is "twenty-nine million, one hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 361 568 722 1136 1349 1444 2698 2888 5041 5396 5776 10082 10792 20164 21584 25631 40328 51262 80656 95779 102524 191558 205048 383116 410096 766232 1532464 1819801 3639602 7279204 14558408 29116816