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29675296 = 257137967
BaseRepresentation
bin111000100110…
…0111100100000
32001211122212001
41301030330200
530044102141
62540013344
7510143620
oct161147440
961748761
1029675296
1115829542
129b31254
1361c0261
143d26880
152912a31
hex1c4cf20

29675296 has 48 divisors (see below), whose sum is σ = 67326336. Its totient is φ = 12612096.

The previous prime is 29675293. The next prime is 29675311. The reversal of 29675296 is 69257692.

It is not an unprimeable number, because it can be changed into a prime (29675293) 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 7 ways as a sum of consecutive naturals, for example, 30205 + ... + 31171.

It is an arithmetic number, because the mean of its divisors is an integer number (1402632).

Almost surely, 229675296 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 29675296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663168).

29675296 is an abundant number, since it is smaller than the sum of its proper divisors (37651040).

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

29675296 is a wasteful number, since it uses less digits than its factorization.

29675296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 29675296 is about 5447.5036484614. The cubic root of 29675296 is about 309.5981473581.

The spelling of 29675296 in words is "twenty-nine million, six hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 967 1096 1918 1934 2192 3836 3868 4384 6769 7672 7736 13538 15344 15472 27076 30688 30944 54152 108304 132479 216608 264958 529916 927353 1059832 1854706 2119664 3709412 4239328 7418824 14837648 29675296