[go: up one dir, main page]

Search a number
-
+
29275904 = 28717312
BaseRepresentation
bin110111110101…
…1011100000000
32001002100222202
41233223130000
524443312104
62523252332
7503561330
oct157533400
961070882
1029275904
1115586469
12997a0a8
1360b0528
143c610c0
15288451e
hex1beb700

29275904 has 108 divisors (see below), whose sum is σ = 73068912. Its totient is φ = 11427840.

The previous prime is 29275871. The next prime is 29275933. The reversal of 29275904 is 40957292.

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 11 ways as a sum of consecutive naturals, for example, 944369 + ... + 944399.

It is an arithmetic number, because the mean of its divisors is an integer number (676564).

Almost surely, 229275904 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 29275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36534456).

29275904 is an abundant number, since it is smaller than the sum of its proper divisors (43793008).

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

29275904 is an equidigital number, since it uses as much as digits as its factorization.

29275904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 29275904 is about 5410.7212088593. The cubic root of 29275904 is about 308.2029359173.

The spelling of 29275904 in words is "twenty-nine million, two hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 527 544 868 896 952 961 992 1054 1088 1736 1792 1904 1922 1984 2108 2176 3472 3689 3808 3844 3968 4216 4352 6727 6944 7378 7616 7688 7936 8432 13454 13888 14756 15232 15376 16337 16864 26908 27776 29512 30464 30752 32674 33728 53816 55552 59024 61504 65348 67456 107632 114359 118048 123008 130696 134912 215264 228718 236096 246016 261392 430528 457436 472192 522784 861056 914872 944384 1045568 1722112 1829744 2091136 3659488 4182272 7318976 14637952 29275904