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29477214 = 23213235477
BaseRepresentation
bin111000001110…
…0100101011110
32001110121010200
41300130211132
530021232324
62531444330
7505360254
oct160344536
961417120
1029477214
1115703738
129a566a6
136151050
143cb45d4
1528c3ec9
hex1c1c95e

29477214 has 48 divisors (see below), whose sum is σ = 71783712. Its totient is φ = 8673984.

The previous prime is 29477179. The next prime is 29477251. The reversal of 29477214 is 41277492.

It is a super-2 number, since 2×294772142 = 1737812290403592, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2644 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (1495494).

Almost surely, 229477214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29477214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35891856).

29477214 is an abundant number, since it is smaller than the sum of its proper divisors (42306498).

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

29477214 is a wasteful number, since it uses less digits than its factorization.

29477214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5518 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 29477214 is about 5429.2922190650. The cubic root of 29477214 is about 308.9077551654.

The spelling of 29477214 in words is "twenty-nine million, four hundred seventy-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 5477 10954 16431 32862 49293 71201 98586 125971 142402 213603 251942 377913 427206 640809 755826 1133739 1281618 1637623 2267478 3275246 4912869 9825738 14738607 29477214