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29764896 = 253744293
BaseRepresentation
bin111000110001…
…0110100100000
32002000012202120
41301202310200
530104434041
62541544240
7510666060
oct161426440
962005676
1029764896
111588a897
129b75080
136221c85
143d4b3a0
15292e366
hex1c62d20

29764896 has 48 divisors (see below), whose sum is σ = 89296704. Its totient is φ = 8504064.

The previous prime is 29764883. The next prime is 29764897. The reversal of 29764896 is 69846792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (29764897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21475 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (1860348).

Almost surely, 229764896 is an apocalyptic number.

It is an amenable number.

29764896 is an abundant number, since it is smaller than the sum of its proper divisors (59531808).

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

29764896 is a wasteful number, since it uses less digits than its factorization.

29764896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44313 (or 44305 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 29764896 is about 5455.7214005116. The cubic root of 29764896 is about 309.9094289693.

The spelling of 29764896 in words is "twenty-nine million, seven hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 44293 88586 132879 177172 265758 310051 354344 531516 620102 708688 930153 1063032 1240204 1417376 1860306 2126064 2480408 3720612 4252128 4960816 7441224 9921632 14882448 29764896