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29964096 = 263252021
BaseRepresentation
bin111001001001…
…1011101000000
32002101100000100
41302103131000
530132322341
62550122400
7512455611
oct162233500
962340010
1029964096
1115a06518
12a050400
136291846
143d9dc08
15296d3b6
hex1c93740

29964096 has 42 divisors (see below), whose sum is σ = 85888322. Its totient is φ = 9987840.

The previous prime is 29964061. The next prime is 29964107. The reversal of 29964096 is 69046992.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 4562496 = 5040^2 + 2136^2 .

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 5 ways as a sum of consecutive naturals, for example, 25435 + ... + 26586.

Almost surely, 229964096 is an apocalyptic number.

It is an amenable number.

29964096 is an abundant number, since it is smaller than the sum of its proper divisors (55924226).

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

29964096 is a wasteful number, since it uses less digits than its factorization.

29964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52039 (or 52026 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 29964096 is about 5473.9470220308. The cubic root of 29964096 is about 310.5992432495.

The spelling of 29964096 in words is "twenty-nine million, nine hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 52021 104042 156063 208084 312126 416168 468189 624252 832336 936378 1248504 1664672 1872756 2497008 3329344 3745512 4994016 7491024 9988032 14982048 29964096