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29122912 = 2571373137
BaseRepresentation
bin110111100011…
…0000101100000
32000210121010101
41233012011200
524423413122
62520112144
7502353310
oct157060540
960717111
1029122912
1115491525
129905654
1360589c0
143c21440
152854027
hex1bc6160

29122912 has 96 divisors (see below), whose sum is σ = 72055872. Its totient is φ = 11280384.

The previous prime is 29122909. The next prime is 29122913. The reversal of 29122912 is 21922192.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29122913) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212508 + ... + 212644.

It is an arithmetic number, because the mean of its divisors is an integer number (750582).

Almost surely, 229122912 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 29122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36027936).

29122912 is an abundant number, since it is smaller than the sum of its proper divisors (42932960).

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

29122912 is a wasteful number, since it uses less digits than its factorization.

29122912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 29122912 is about 5396.5648332990. The cubic root of 29122912 is about 307.6651220597.

The spelling of 29122912 in words is "twenty-nine million, one hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 73 91 104 112 137 146 182 208 224 274 292 364 416 511 548 584 728 949 959 1022 1096 1168 1456 1781 1898 1918 2044 2192 2336 2912 3562 3796 3836 4088 4384 6643 7124 7592 7672 8176 10001 12467 13286 14248 15184 15344 16352 20002 24934 26572 28496 30368 30688 40004 49868 53144 56992 70007 80008 99736 106288 130013 140014 160016 199472 212576 260026 280028 320032 398944 520052 560056 910091 1040104 1120112 1820182 2080208 2240224 3640364 4160416 7280728 14561456 29122912