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29628036 = 2232823001
BaseRepresentation
bin111000100000…
…1011010000100
32001202021000200
41301001122010
530041044121
62535010500
7506556054
oct161013204
961667020
1029628036
11157a6a89
129b09a30
1361a48a9
143d13564
152903a26
hex1c41684

29628036 has 18 divisors (see below), whose sum is σ = 74893182. Its totient is φ = 9876000.

The previous prime is 29628023. The next prime is 29628041. The reversal of 29628036 is 63082692.

29628036 is a `hidden beast` number, since 29 + 628 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16451136 + 13176900 = 4056^2 + 3630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 823001 = 29628036 / (2 + 9 + 6 + 2 + 8 + 0 + 3 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411465 + ... + 411536.

Almost surely, 229628036 is an apocalyptic number.

It is an amenable number.

29628036 is an abundant number, since it is smaller than the sum of its proper divisors (45265146).

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

29628036 is a wasteful number, since it uses less digits than its factorization.

29628036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823011 (or 823006 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29628036 is about 5443.1641533211. The cubic root of 29628036 is about 309.4337077446.

Subtracting 29628036 from its reverse (63082692), we obtain a square (33454656 = 57842).

The spelling of 29628036 in words is "twenty-nine million, six hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 823001 1646002 2469003 3292004 4938006 7407009 9876012 14814018 29628036