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29073808 = 2417891201
BaseRepresentation
bin110111011101…
…0000110010000
32000201002202201
41232322012100
524420330213
62515052544
7502060201
oct156720620
960632681
1029073808
1115458645
1298a1154
13603c54a
143c0b5a8
1528446dd
hex1bba190

29073808 has 40 divisors (see below), whose sum is σ = 60364440. Its totient is φ = 13516800.

The previous prime is 29073799. The next prime is 29073809. The reversal of 29073808 is 80837092.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 29073664 = 12^2 + 5392^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29073809) 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, 23608 + ... + 24808.

It is an arithmetic number, because the mean of its divisors is an integer number (1509111).

Almost surely, 229073808 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 29073808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30182220).

29073808 is an abundant number, since it is smaller than the sum of its proper divisors (31290632).

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

29073808 is a wasteful number, since it uses less digits than its factorization.

29073808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 29073808 is about 5392.0133530992. The cubic root of 29073808 is about 307.4921072291.

The spelling of 29073808 in words is "twenty-nine million, seventy-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1201 1424 1513 2402 3026 4804 6052 9608 12104 19216 20417 24208 40834 81668 106889 163336 213778 326672 427556 855112 1710224 1817113 3634226 7268452 14536904 29073808