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29058656 = 2511312663
BaseRepresentation
bin110111011011…
…0011001100000
32000200022222112
41232312121200
524414334111
62514454452
7501665054
oct156663140
960608875
1029058656
1115448220
129894428
136035693
143c05c64
15283ee8b
hex1bb6660

29058656 has 48 divisors (see below), whose sum is σ = 64447488. Its totient is φ = 12777600.

The previous prime is 29058641. The next prime is 29058671. The reversal of 29058656 is 65685092.

It is an interprime number because it is at equal distance from previous prime (29058641) and next prime (29058671).

It is a congruent number.

It is an unprimeable number.

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, 9581 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (1342656).

Almost surely, 229058656 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 29058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223744).

29058656 is an abundant number, since it is smaller than the sum of its proper divisors (35388832).

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

29058656 is a wasteful number, since it uses less digits than its factorization.

29058656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 29058656 is about 5390.6081289591. The cubic root of 29058656 is about 307.4386807908.

The spelling of 29058656 in words is "twenty-nine million, fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2663 2728 5326 5456 10652 10912 21304 29293 42608 58586 82553 85216 117172 165106 234344 330212 468688 660424 908083 937376 1320848 1816166 2641696 3632332 7264664 14529328 29058656