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29520984 = 23319411579
BaseRepresentation
bin111000010011…
…1010001011000
32001112211011210
41300213101120
530024132414
62532423120
7505632003
oct160472130
961484153
1029520984
1115733609
129a77aa0
136167c4c
143cc653a
1528d1e59
hex1c27458

29520984 has 64 divisors (see below), whose sum is σ = 79632000. Its totient is φ = 9089280.

The previous prime is 29520973. The next prime is 29520989. The reversal of 29520984 is 48902592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29520989) 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 15 ways as a sum of consecutive naturals, for example, 17907 + ... + 19485.

It is an arithmetic number, because the mean of its divisors is an integer number (1244250).

Almost surely, 229520984 is an apocalyptic number.

29520984 is a gapful number since it is divisible by the number (24) 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 29520984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816000).

29520984 is an abundant number, since it is smaller than the sum of its proper divisors (50111016).

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

29520984 is a wasteful number, since it uses less digits than its factorization.

29520984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 29520984 is about 5433.3216359792. The cubic root of 29520984 is about 309.0605760943.

The spelling of 29520984 in words is "twenty-nine million, five hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 1579 2337 3116 3158 4674 4737 6232 6316 9348 9474 12632 18696 18948 30001 37896 60002 64739 90003 120004 129478 180006 194217 240008 258956 360012 388434 517912 720024 776868 1230041 1553736 2460082 3690123 4920164 7380246 9840328 14760492 29520984