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29198952 = 2332405541
BaseRepresentation
bin110111101100…
…0101001101000
32000221110102200
41233120221220
524433331302
62521500200
7503121066
oct157305150
960843380
1029198952
1115533672
129941660
1360844b3
143c41036
15286b81c
hex1bd8a68

29198952 has 24 divisors (see below), whose sum is σ = 79080690. Its totient is φ = 9732960.

The previous prime is 29198921. The next prime is 29198959. The reversal of 29198952 is 25989192.

It can be written as a sum of positive squares in only one way, i.e., 27311076 + 1887876 = 5226^2 + 1374^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 29198898 and 29198907.

It is not an unprimeable number, because it can be changed into a prime (29198959) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 202699 + ... + 202842.

Almost surely, 229198952 is an apocalyptic number.

It is an amenable number.

29198952 is an abundant number, since it is smaller than the sum of its proper divisors (49881738).

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

29198952 is a wasteful number, since it uses less digits than its factorization.

29198952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405553 (or 405546 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 29198952 is about 5403.6054630219. The cubic root of 29198952 is about 307.9326608280.

The spelling of 29198952 in words is "twenty-nine million, one hundred ninety-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 405541 811082 1216623 1622164 2433246 3244328 3649869 4866492 7299738 9732984 14599476 29198952