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29928448 = 210112657
BaseRepresentation
bin111001000101…
…0110000000000
32002022112010001
41302022300000
530130202243
62545245344
7512246644
oct162126000
962275101
1029928448
1115991760
12a033854
13627b554
143d90c24
152962a4d
hex1c8ac00

29928448 has 44 divisors (see below), whose sum is σ = 65291112. Its totient is φ = 13598720.

The previous prime is 29928443. The next prime is 29928461. The reversal of 29928448 is 84482992.

It is a tau number, because it is divible by the number of its divisors (44).

It is a junction number, because it is equal to n+sod(n) for n = 29928398 and 29928407.

It is not an unprimeable number, because it can be changed into a prime (29928443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9936 + ... + 12592.

Almost surely, 229928448 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 29928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32645556).

29928448 is an abundant number, since it is smaller than the sum of its proper divisors (35362664).

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

29928448 is a wasteful number, since it uses less digits than its factorization.

29928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2670 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 29928448 is about 5470.6899016486. The cubic root of 29928448 is about 310.4760220497.

The spelling of 29928448 in words is "twenty-nine million, nine hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2657 2816 5314 5632 10628 11264 21256 29227 42512 58454 85024 116908 170048 233816 340096 467632 680192 935264 1360384 1870528 2720768 3741056 7482112 14964224 29928448