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29121792 = 28375417
BaseRepresentation
bin110111100010…
…1110100000000
32000210112120220
41233011310000
524423344132
62520103040
7502350120
oct157056400
960715526
1029121792
11154906a7
129904a80
13605833b
143c20c80
152853a2c
hex1bc5d00

29121792 has 72 divisors (see below), whose sum is σ = 88595136. Its totient is φ = 8318976.

The previous prime is 29121787. The next prime is 29121809. The reversal of 29121792 is 29712192.

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, 2668 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (1230488).

Almost surely, 229121792 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 29121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44297568).

29121792 is an abundant number, since it is smaller than the sum of its proper divisors (59473344).

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

29121792 is an equidigital number, since it uses as much as digits as its factorization.

29121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5429 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 29121792 is about 5396.4610625854. The cubic root of 29121792 is about 307.6611779789.

The spelling of 29121792 in words is "twenty-nine million, one hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 5417 10834 16251 21668 32502 37919 43336 65004 75838 86672 113757 130008 151676 173344 227514 260016 303352 346688 455028 520032 606704 693376 910056 1040064 1213408 1386752 1820112 2080128 2426816 3640224 4160256 4853632 7280448 9707264 14560896 29121792