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69814728 = 23323121009
BaseRepresentation
bin1000010100101…
…00100111001000
311212100221210200
410022110213020
5120333032403
610532212200
71505262324
oct412244710
9155327720
1069814728
1136454925
121b46a060
13116053b9
1493b4984
1561e0ca3
hex42949c8

69814728 has 72 divisors (see below), whose sum is σ = 195571350. Its totient is φ = 22498560.

The previous prime is 69814711. The next prime is 69814741. The reversal of 69814728 is 82741896.

It can be written as a sum of positive squares in only one way, i.e., 63968004 + 5846724 = 7998^2 + 2418^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68688 + ... + 69696.

Almost surely, 269814728 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 69814728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97785675).

69814728 is an abundant number, since it is smaller than the sum of its proper divisors (125756622).

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

69814728 is a wasteful number, since it uses less digits than its factorization.

69814728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1045 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 69814728 is about 8355.5208096204. The cubic root of 69814728 is about 411.7646093093.

The spelling of 69814728 in words is "sixty-nine million, eight hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1009 1116 1922 2018 2232 2883 3027 3844 4036 5766 6054 7688 8072 8649 9081 11532 12108 17298 18162 23064 24216 31279 34596 36324 62558 69192 72648 93837 125116 187674 250232 281511 375348 563022 750696 969649 1126044 1939298 2252088 2908947 3878596 5817894 7757192 8726841 11635788 17453682 23271576 34907364 69814728