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29242152 = 2332461881
BaseRepresentation
bin110111110001…
…1001100101000
32001000122200200
41233203030220
524441222102
62522432200
7503361042
oct157431450
961018620
1029242152
1115563075
129962660
13609b064
143c52a92
15287951c
hex1be3328

29242152 has 48 divisors (see below), whose sum is σ = 79459380. Its totient is φ = 9715200.

The previous prime is 29242151. The next prime is 29242211. The reversal of 29242152 is 25124292.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 2056356 = 5214^2 + 1434^2 .

It is a super-2 number, since 2×292421522 = 1710206907182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29242151) 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 11 ways as a sum of consecutive naturals, for example, 32752 + ... + 33632.

Almost surely, 229242152 is an apocalyptic number.

It is an amenable number.

29242152 is an abundant number, since it is smaller than the sum of its proper divisors (50217228).

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

29242152 is a wasteful number, since it uses less digits than its factorization.

29242152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1347 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 29242152 is about 5407.6013166653. The cubic root of 29242152 is about 308.0844486487.

The spelling of 29242152 in words is "twenty-nine million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 461 881 922 1383 1762 1844 2643 2766 3524 3688 4149 5286 5532 7048 7929 8298 10572 11064 15858 16596 21144 31716 33192 63432 406141 812282 1218423 1624564 2436846 3249128 3655269 4873692 7310538 9747384 14621076 29242152