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69628928 = 21097701
BaseRepresentation
bin1000010011001…
…11010000000000
311212000111221012
410021213100000
5120311111203
610524220052
71503556535
oct411472000
9155014835
1069628928
1136338276
121b39a628
131156b965
149366d8c
1561a5bd8
hex4267400

69628928 has 44 divisors (see below), whose sum is σ = 140825412. Its totient is φ = 34406400.

The previous prime is 69628907. The next prime is 69628967. The reversal of 69628928 is 82982696.

It can be written as a sum of positive squares in 2 ways, for example, as 46895104 + 22733824 = 6848^2 + 4768^2 .

It is a super-2 number, since 2×696289282 = 9696375228858368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98978 + ... + 99678.

Almost surely, 269628928 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 69628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412706).

69628928 is an abundant number, since it is smaller than the sum of its proper divisors (71196484).

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

69628928 is an equidigital number, since it uses as much as digits as its factorization.

69628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 69628928 is about 8344.3950050318. The cubic root of 69628928 is about 411.3990043420.

The spelling of 69628928 in words is "sixty-nine million, six hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 701 776 1024 1402 1552 2804 3104 5608 6208 11216 12416 22432 24832 44864 49664 67997 89728 99328 135994 179456 271988 358912 543976 717824 1087952 2175904 4351808 8703616 17407232 34814464 69628928