Search a number
-
+
69086052 = 223271947307
BaseRepresentation
bin1000001111000…
…10101101100100
311210222221020200
410013202231210
5120141223202
610504430500
71466136030
oct407425544
9153887220
1069086052
1135aa7412
121b178430
131140b829
1492651c0
1560e9e1c
hex41e2b64

69086052 has 144 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 18242496.

The previous prime is 69086041. The next prime is 69086077. The reversal of 69086052 is 25068096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69085998 and 69086016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224883 + ... + 225189.

Almost surely, 269086052 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 69086052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

69086052 is an abundant number, since it is smaller than the sum of its proper divisors (146168988).

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

69086052 is a wasteful number, since it uses less digits than its factorization.

69086052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 69086052 is about 8311.8019706920. The cubic root of 69086052 is about 410.3270283948.

The spelling of 69086052 in words is "sixty-nine million, eighty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 47 57 63 76 84 94 114 126 133 141 171 188 228 252 266 282 307 329 342 399 423 532 564 614 658 684 798 846 893 921 987 1197 1228 1316 1596 1692 1786 1842 1974 2149 2394 2679 2763 2961 3572 3684 3948 4298 4788 5358 5526 5833 5922 6251 6447 8037 8596 10716 11052 11666 11844 12502 12894 14429 16074 17499 18753 19341 23332 25004 25788 28858 32148 34998 37506 38682 40831 43287 52497 56259 57716 69996 75012 77364 81662 86574 101003 104994 112518 122493 129861 163324 173148 202006 209988 225036 244986 259722 274151 303009 367479 404012 489972 519444 548302 606018 734958 822453 909027 1096604 1212036 1469916 1644906 1818054 1919057 2467359 3289812 3636108 3838114 4934718 5757171 7676228 9869436 11514342 17271513 23028684 34543026 69086052