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69009408 = 2163413
BaseRepresentation
bin1000001110100…
…00000000000000
311210212001010000
410013100000000
5120131300113
610503040000
71465366416
oct407200000
9153761100
1069009408
1135a54876
121b140000
13113b2990
1492452b6
1560d2373
hex41d0000

69009408 has 170 divisors, whose sum is σ = 222034274. Its totient is φ = 21233664.

The previous prime is 69009371. The next prime is 69009427. The reversal of 69009408 is 80490096.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 21233664 = 6912^2 + 4608^2 .

It is a super-3 number, since 3×690094083 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308410 + ... + 5308422.

Almost surely, 269009408 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 69009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017137).

69009408 is an abundant number, since it is smaller than the sum of its proper divisors (153024866).

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

69009408 is an frugal number, since it uses more digits than its factorization.

69009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 69009408 is about 8307.1901386690. The cubic root of 69009408 is about 410.1752334430.

The spelling of 69009408 in words is "sixty-nine million, nine thousand, four hundred eight".