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29922768 = 2432207797
BaseRepresentation
bin111001000100…
…1010111010000
32002022020022200
41302021113100
530130012033
62545203200
7512224251
oct162112720
962266280
1029922768
1115988467
12a030500
136278aa5
143d8cb28
152961013
hex1c895d0

29922768 has 30 divisors (see below), whose sum is σ = 83742594. Its totient is φ = 9974208.

The previous prime is 29922733. The next prime is 29922769. The reversal of 29922768 is 86722992.

It can be written as a sum of positive squares in only one way, i.e., 29680704 + 242064 = 5448^2 + 492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29922769) 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 5 ways as a sum of consecutive naturals, for example, 103755 + ... + 104042.

Almost surely, 229922768 is an apocalyptic number.

It is an amenable number.

29922768 is an abundant number, since it is smaller than the sum of its proper divisors (53819826).

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

29922768 is a wasteful number, since it uses less digits than its factorization.

29922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207811 (or 207802 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 29922768 is about 5470.1707468780. The cubic root of 29922768 is about 310.4563794744.

The spelling of 29922768 in words is "twenty-nine million, nine hundred twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 207797 415594 623391 831188 1246782 1662376 1870173 2493564 3324752 3740346 4987128 7480692 9974256 14961384 29922768