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29412801 = 341123001
BaseRepresentation
bin111000000110…
…0110111000001
32001100022210000
41300030313001
530012202201
62530230213
7505001415
oct160146701
961308700
1029412801
111566a300
129a25369
13612a932
143c98d45
1528aed86
hex1c0cdc1

29412801 has 30 divisors (see below), whose sum is σ = 48311186. Its totient is φ = 17820000.

The previous prime is 29412763. The next prime is 29412811. The reversal of 29412801 is 10821492.

It can be written as a sum of positive squares in only one way, i.e., 25492401 + 3920400 = 5049^2 + 1980^2 .

It is not a de Polignac number, because 29412801 - 217 = 29281729 is a prime.

It is a super-2 number, since 2×294128012 = 1730225725331202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29412811) 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 29 ways as a sum of consecutive naturals, for example, 8301 + ... + 11301.

Almost surely, 229412801 is an apocalyptic number.

It is an amenable number.

29412801 is a deficient number, since it is larger than the sum of its proper divisors (18898385).

29412801 is a wasteful number, since it uses less digits than its factorization.

29412801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29412801 is about 5423.3569862217. The cubic root of 29412801 is about 308.6825847882.

The spelling of 29412801 in words is "twenty-nine million, four hundred twelve thousand, eight hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3001 3267 9003 9801 27009 33011 81027 99033 243081 297099 363121 891297 1089363 2673891 3268089 9804267 29412801