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69042048 = 273199463
BaseRepresentation
bin1000001110101…
…11111110000000
311210220200212220
410013113332000
5120133321143
610503451040
71465563525
oct407277600
9153820786
1069042048
1135a77349
121b156a80
13113c47aa
14925314c
1560dbd83
hex41d7f80

69042048 has 64 divisors (see below), whose sum is σ = 193065600. Its totient is φ = 21800448.

The previous prime is 69042031. The next prime is 69042059. The reversal of 69042048 is 84024096.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565 + ... + 12027.

It is an arithmetic number, because the mean of its divisors is an integer number (3016650).

Almost surely, 269042048 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 69042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96532800).

69042048 is an abundant number, since it is smaller than the sum of its proper divisors (124023552).

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

69042048 is a wasteful number, since it uses less digits than its factorization.

69042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 69042048 is about 8309.1544696196. The cubic root of 69042048 is about 410.2398913392.

The spelling of 69042048 in words is "sixty-nine million, forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 9463 18926 28389 37852 56778 75704 113556 151408 179797 227112 302816 359594 454224 539391 605632 719188 908448 1078782 1211264 1438376 1816896 2157564 2876752 3633792 4315128 5753504 8630256 11507008 17260512 23014016 34521024 69042048