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29294944 = 257317157
BaseRepresentation
bin110111111000…
…0000101100000
32001010100002221
41233300011200
524444414234
62523520424
7504001000
oct157600540
961110087
1029294944
11155997a8
129989114
1360b90b3
143c68000
152889eb4
hex1bf0160

29294944 has 96 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 11741184.

The previous prime is 29294929. The next prime is 29294953. The reversal of 29294944 is 44949292.

It is a self number, because there is not a number n which added to its sum of digits gives 29294944.

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 15 ways as a sum of consecutive naturals, for example, 186514 + ... + 186670.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 229294944 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 29294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

29294944 is an abundant number, since it is smaller than the sum of its proper divisors (42373856).

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

29294944 is a wasteful number, since it uses less digits than its factorization.

29294944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 29294944 is about 5412.4803925742. The cubic root of 29294944 is about 308.2697361569.

The spelling of 29294944 in words is "twenty-nine million, two hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 157 196 224 238 272 314 343 392 476 544 628 686 784 833 952 1099 1256 1372 1568 1666 1904 2198 2512 2669 2744 3332 3808 4396 5024 5338 5488 5831 6664 7693 8792 10676 10976 11662 13328 15386 17584 18683 21352 23324 26656 30772 35168 37366 42704 46648 53851 61544 74732 85408 93296 107702 123088 130781 149464 186592 215404 246176 261562 298928 430808 523124 597856 861616 915467 1046248 1723232 1830934 2092496 3661868 4184992 7323736 14647472 29294944