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29452968 = 2332409069
BaseRepresentation
bin111000001011…
…0101010101000
32001102100212200
41300112222220
530014443333
62531140200
7505226466
oct160265250
961370780
1029452968
11156974a6
129a44660
136142cbc
143ca9836
1528bbc13
hex1c16aa8

29452968 has 24 divisors (see below), whose sum is σ = 79768650. Its totient is φ = 9817632.

The previous prime is 29452967. The next prime is 29452981. The reversal of 29452968 is 86925492.

It can be written as a sum of positive squares in only one way, i.e., 16793604 + 12659364 = 4098^2 + 3558^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (29452961) 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 5 ways as a sum of consecutive naturals, for example, 204463 + ... + 204606.

Almost surely, 229452968 is an apocalyptic number.

It is an amenable number.

29452968 is an abundant number, since it is smaller than the sum of its proper divisors (50315682).

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

29452968 is a wasteful number, since it uses less digits than its factorization.

29452968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409081 (or 409074 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 29452968 is about 5427.0588719858. The cubic root of 29452968 is about 308.8230362601.

The spelling of 29452968 in words is "twenty-nine million, four hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409069 818138 1227207 1636276 2454414 3272552 3681621 4908828 7363242 9817656 14726484 29452968