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29888480 = 255367509
BaseRepresentation
bin111001000000…
…0111111100000
32002020111021202
41302000333200
530122412410
62544340332
7512022266
oct162007740
962214252
1029888480
1115964726
12a0146a8
1362662bb
143d80436
152955ca5
hex1c80fe0

29888480 has 48 divisors (see below), whose sum is σ = 70943040. Its totient is φ = 11899392.

The previous prime is 29888471. The next prime is 29888497. The reversal of 29888480 is 8488892.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58466 + ... + 58974.

It is an arithmetic number, because the mean of its divisors is an integer number (1477980).

Almost surely, 229888480 is an apocalyptic number.

29888480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35471520).

29888480 is an abundant number, since it is smaller than the sum of its proper divisors (41054560).

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

29888480 is a wasteful number, since it uses less digits than its factorization.

29888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 29888480 is about 5467.0357598977. The cubic root of 29888480 is about 310.3377518920.

The spelling of 29888480 in words is "twenty-nine million, eight hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 509 734 1018 1468 1835 2036 2545 2936 3670 4072 5090 5872 7340 8144 10180 11744 14680 16288 20360 29360 40720 58720 81440 186803 373606 747212 934015 1494424 1868030 2988848 3736060 5977696 7472120 14944240 29888480