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29312608 = 2513312273
BaseRepresentation
bin110111111010…
…0011001100000
32001011020100011
41233310121200
530001000413
62524134304
7504103333
oct157643140
961136304
1029312608
1115600aa6
129997394
1360c4150
143c7061a
15289033d
hex1bf4660

29312608 has 48 divisors (see below), whose sum is σ = 64181376. Its totient is φ = 13086720.

The previous prime is 29312593. The next prime is 29312609. The reversal of 29312608 is 80621392.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 29312608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29312609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11760 + ... + 14032.

It is an arithmetic number, because the mean of its divisors is an integer number (1337112).

Almost surely, 229312608 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 29312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090688).

29312608 is an abundant number, since it is smaller than the sum of its proper divisors (34868768).

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

29312608 is a wasteful number, since it uses less digits than its factorization.

29312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 29312608 is about 5414.1119308710. Note that the first 3 decimals coincide. The cubic root of 29312608 is about 308.3316829390.

The spelling of 29312608 in words is "twenty-nine million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 2273 3224 4546 6448 9092 12896 18184 29549 36368 59098 70463 72736 118196 140926 236392 281852 472784 563704 916019 945568 1127408 1832038 2254816 3664076 7328152 14656304 29312608