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29979072 = 26345783
BaseRepresentation
bin111001001011…
…1000111000000
32002102002120000
41302113013000
530133312242
62550320000
7512550354
oct162270700
962362500
1029979072
1115a167a2
12a059000
1362985c6
143da5464
152972a4c
hex1c971c0

29979072 has 70 divisors (see below), whose sum is σ = 88882728. Its totient is φ = 9991296.

The previous prime is 29979043. The next prime is 29979073. The reversal of 29979072 is 27097992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29979073) 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 9 ways as a sum of consecutive naturals, for example, 2293 + ... + 8075.

Almost surely, 229979072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44441364).

29979072 is an abundant number, since it is smaller than the sum of its proper divisors (58903656).

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

29979072 is an equidigital number, since it uses as much as digits as its factorization.

29979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 29979072 is about 5475.3147854712. The cubic root of 29979072 is about 310.6509802743.

The spelling of 29979072 in words is "twenty-nine million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5783 11566 17349 23132 34698 46264 52047 69396 92528 104094 138792 156141 185056 208188 277584 312282 370112 416376 468423 555168 624564 832752 936846 1110336 1249128 1665504 1873692 2498256 3331008 3747384 4996512 7494768 9993024 14989536 29979072