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29692928 = 210107271
BaseRepresentation
bin111000101000…
…1010000000000
32001212120001002
41301101100000
530100133203
62540231132
7510246206
oct161212000
961776032
1029692928
1115840811
129b3b4a8
1361c82a5
143d2d076
152917d88
hex1c51400

29692928 has 44 divisors (see below), whose sum is σ = 60132672. Its totient is φ = 14653440.

The previous prime is 29692903. The next prime is 29692933. The reversal of 29692928 is 82929692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109433 + ... + 109703.

Almost surely, 229692928 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 29692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30066336).

29692928 is an abundant number, since it is smaller than the sum of its proper divisors (30439744).

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

29692928 is a wasteful number, since it uses less digits than its factorization.

29692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 29692928 is about 5449.1217641011. The cubic root of 29692928 is about 309.6594526016.

It can be divided in two parts, 29692 and 928, that multiplied together give a triangular number (27554176 = T7423).

The spelling of 29692928 in words is "twenty-nine million, six hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 271 428 512 542 856 1024 1084 1712 2168 3424 4336 6848 8672 13696 17344 27392 28997 34688 54784 57994 69376 109568 115988 138752 231976 277504 463952 927904 1855808 3711616 7423232 14846464 29692928