[go: up one dir, main page]

Search a number
-
+
29539104 = 2537113389
BaseRepresentation
bin111000010101…
…1101100100000
32001120202000220
41300223230200
530030222404
62533043040
7506035560
oct160535440
961522026
1029539104
1115746191
129a86480
13617327a
143cccda0
1528d74d9
hex1c2bb20

29539104 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 8343552.

The previous prime is 29539099. The next prime is 29539121. The reversal of 29539104 is 40193592.

It is a tau number, because it is divible by the number of its divisors (96).

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, 75742 + ... + 76130.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 229539104 is an apocalyptic number.

29539104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29539104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

29539104 is an abundant number, since it is smaller than the sum of its proper divisors (60092256).

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

29539104 is a wasteful number, since it uses less digits than its factorization.

29539104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 29539104 is about 5434.9888684339. The cubic root of 29539104 is about 309.1237970248.

The spelling of 29539104 in words is "twenty-nine million, five hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 389 452 672 678 778 791 904 1167 1356 1556 1582 1808 2334 2373 2712 2723 3112 3164 3616 4668 4746 5424 5446 6224 6328 8169 9336 9492 10848 10892 12448 12656 16338 18672 18984 21784 25312 32676 37344 37968 43568 43957 65352 75936 87136 87914 130704 131871 175828 261408 263742 307699 351656 527484 615398 703312 923097 1054968 1230796 1406624 1846194 2109936 2461592 3692388 4219872 4923184 7384776 9846368 14769552 29539104