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69893856 = 25321953241
BaseRepresentation
bin1000010101001…
…11111011100000
311212111222100100
410022213323200
5120343100411
610534022400
71506042114
oct412477340
9155458310
1069893856
11364a931a
121b4a7a00
1311632416
1493d5744
156209456
hex42a7ee0

69893856 has 144 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 21565440.

The previous prime is 69893773. The next prime is 69893867. The reversal of 69893856 is 65839896.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×698938562 = 9770302213097472, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 289896 + ... + 290136.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 269893856 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 69893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

69893856 is an abundant number, since it is smaller than the sum of its proper divisors (144159984).

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

69893856 is a wasteful number, since it uses less digits than its factorization.

69893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 69893856 is about 8360.2545415795. The cubic root of 69893856 is about 411.9201152184.

The spelling of 69893856 in words is "sixty-nine million, eight hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 53 57 72 76 96 106 114 144 152 159 171 212 228 241 288 304 318 342 424 456 477 482 608 636 684 723 848 912 954 964 1007 1272 1368 1446 1696 1824 1908 1928 2014 2169 2544 2736 2892 3021 3816 3856 4028 4338 4579 5088 5472 5784 6042 7632 7712 8056 8676 9063 9158 11568 12084 12773 13737 15264 16112 17352 18126 18316 23136 24168 25546 27474 32224 34704 36252 36632 38319 41211 48336 51092 54948 69408 72504 73264 76638 82422 96672 102184 109896 114957 145008 146528 153276 164844 204368 219792 229914 242687 290016 306552 329688 408736 439584 459828 485374 613104 659376 728061 919656 970748 1226208 1318752 1456122 1839312 1941496 2184183 2912244 3678624 3882992 4368366 5824488 7765984 8736732 11648976 17473464 23297952 34946928 69893856