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69016896 = 2632132709
BaseRepresentation
bin1000001110100…
…01110101000000
311210212102101100
410013101311000
5120132020041
610503134400
71465430304
oct407216500
9153772340
1069016896
1135a5a463
121b144400
13113b6200
149247d04
1560d46b6
hex41d1d40

69016896 has 126 divisors (see below), whose sum is σ = 214514430. Its totient is φ = 21206016.

The previous prime is 69016879. The next prime is 69016921. The reversal of 69016896 is 69861096.

It can be written as a sum of positive squares in 3 ways, for example, as 2822400 + 66194496 = 1680^2 + 8136^2 .

It is a congruent number.

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, 96990 + ... + 97698.

Almost surely, 269016896 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 69016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107257215).

69016896 is an abundant number, since it is smaller than the sum of its proper divisors (145497534).

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

69016896 is a wasteful number, since it uses less digits than its factorization.

69016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 69016896 is about 8307.6408203533. The cubic root of 69016896 is about 410.1900685269.

The spelling of 69016896 in words is "sixty-nine million, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 709 832 936 1014 1248 1352 1418 1521 1872 2028 2127 2496 2704 2836 3042 3744 4056 4254 5408 5672 6084 6381 7488 8112 8508 9217 10816 11344 12168 12762 16224 17016 18434 22688 24336 25524 27651 32448 34032 36868 45376 48672 51048 55302 68064 73736 82953 97344 102096 110604 119821 136128 147472 165906 204192 221208 239642 294944 331812 359463 408384 442416 479284 589888 663624 718926 884832 958568 1078389 1327248 1437852 1769664 1917136 2156778 2654496 2875704 3834272 4313556 5308992 5751408 7668544 8627112 11502816 17254224 23005632 34508448 69016896