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29422668 = 223111371627
BaseRepresentation
bin111000000111…
…1010001001100
32001100211022110
41300033101030
530013011133
62530344020
7505042242
oct160172114
961324273
1029422668
1115676760
129a2b010
136132282
143c9c792
1528b2c63
hex1c0f44c

29422668 has 48 divisors (see below), whose sum is σ = 75487104. Its totient is φ = 8845440.

The previous prime is 29422649. The next prime is 29422703. The reversal of 29422668 is 86622492.

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 15 ways as a sum of consecutive naturals, for example, 17271 + ... + 18897.

It is an arithmetic number, because the mean of its divisors is an integer number (1572648).

Almost surely, 229422668 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 29422668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37743552).

29422668 is an abundant number, since it is smaller than the sum of its proper divisors (46064436).

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

29422668 is a wasteful number, since it uses less digits than its factorization.

29422668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1780 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 29422668 is about 5424.2665863691. The cubic root of 29422668 is about 308.7170984516.

The spelling of 29422668 in words is "twenty-nine million, four hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1627 1644 3014 3254 4521 4881 6028 6508 9042 9762 17897 18084 19524 35794 53691 71588 107382 214764 222899 445798 668697 891596 1337394 2451889 2674788 4903778 7355667 9807556 14711334 29422668