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29957328 = 2432208037
BaseRepresentation
bin111001001000…
…1110011010000
32002100222201200
41302101303100
530132113303
62550031200
7512430102
oct162216320
962328650
1029957328
1115a01425
12a048500
13628b73b
143d9b572
15296b3a3
hex1c91cd0

29957328 has 30 divisors (see below), whose sum is σ = 83839314. Its totient is φ = 9985728.

The previous prime is 29957321. The next prime is 29957329. The reversal of 29957328 is 82375992.

It can be written as a sum of positive squares in only one way, i.e., 15303744 + 14653584 = 3912^2 + 3828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29957321) 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, 103875 + ... + 104162.

Almost surely, 229957328 is an apocalyptic number.

It is an amenable number.

29957328 is an abundant number, since it is smaller than the sum of its proper divisors (53881986).

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

29957328 is a wasteful number, since it uses less digits than its factorization.

29957328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208051 (or 208042 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 29957328 is about 5473.3287860314. The cubic root of 29957328 is about 310.5758564382.

The spelling of 29957328 in words is "twenty-nine million, nine hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 208037 416074 624111 832148 1248222 1664296 1872333 2496444 3328592 3744666 4992888 7489332 9985776 14978664 29957328