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29500064 = 2511431949
BaseRepresentation
bin111000010001…
…0001010100000
32001111202110222
41300202022200
530023000224
62532142212
7505514006
oct160421240
961452428
1029500064
1115719920
129a67968
13615b579
143cbca76
1528cab5e
hex1c222a0

29500064 has 48 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 13090560.

The previous prime is 29500061. The next prime is 29500091. The reversal of 29500064 is 46000592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29500061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14162 + ... + 16110.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 229500064 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 29500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

29500064 is an abundant number, since it is smaller than the sum of its proper divisors (35364736).

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

29500064 is a wasteful number, since it uses less digits than its factorization.

29500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 29500064 is about 5431.3961372745. The cubic root of 29500064 is about 308.9875537416.

The spelling of 29500064 in words is "twenty-nine million, five hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 1949 3784 3898 7568 7796 15136 15592 21439 31184 42878 62368 83807 85756 167614 171512 335228 343024 670456 686048 921877 1340912 1843754 2681824 3687508 7375016 14750032 29500064