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29038912 = 267531223
BaseRepresentation
bin110111011000…
…1100101000000
32000122022220021
41232301211000
524413221122
62514223224
7501553360
oct156614500
960568807
1029038912
1115434401
129884b14
1360296b6
143bdc9a0
1528391c7
hex1bb1940

29038912 has 56 divisors (see below), whose sum is σ = 67153536. Its totient is φ = 12200448.

The previous prime is 29038883. The next prime is 29038927. The reversal of 29038912 is 21983092.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23133 + ... + 24355.

Almost surely, 229038912 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 29038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33576768).

29038912 is an abundant number, since it is smaller than the sum of its proper divisors (38114624).

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

29038912 is a wasteful number, since it uses less digits than its factorization.

29038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 29038912 is about 5388.7764845093. The cubic root of 29038912 is about 307.3690349383.

The spelling of 29038912 in words is "twenty-nine million, thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1223 1484 1696 2446 2968 3392 4892 5936 8561 9784 11872 17122 19568 23744 34244 39136 64819 68488 78272 129638 136976 259276 273952 453733 518552 547904 907466 1037104 1814932 2074208 3629864 4148416 7259728 14519456 29038912