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29872986 = 23111337941
BaseRepresentation
bin111000111110…
…1001101011010
32002012201000220
41301331031122
530121413421
62544140510
7511626153
oct161751532
962181026
1029872986
1115954020
12a007736
13625c230
143d7892a
1529513c6
hex1c7d35a

29872986 has 64 divisors (see below), whose sum is σ = 72164736. Its totient is φ = 8121600.

The previous prime is 29872963. The next prime is 29872991. The reversal of 29872986 is 68927892.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31276 + ... + 32216.

It is an arithmetic number, because the mean of its divisors is an integer number (1127574).

Almost surely, 229872986 is an apocalyptic number.

29872986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29872986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36082368).

29872986 is an abundant number, since it is smaller than the sum of its proper divisors (42291750).

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

29872986 is a wasteful number, since it uses less digits than its factorization.

29872986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007.

The product of its digits is 870912, while the sum is 51.

The square root of 29872986 is about 5465.6185377320. The cubic root of 29872986 is about 310.2841169102.

The spelling of 29872986 in words is "twenty-nine million, eight hundred seventy-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 286 407 429 481 814 858 941 962 1221 1443 1882 2442 2823 2886 5291 5646 10351 10582 12233 15873 20702 24466 31053 31746 34817 36699 62106 69634 73398 104451 134563 208902 269126 382987 403689 452621 765974 807378 905242 1148961 1357863 2297922 2715726 4978831 9957662 14936493 29872986