Search a number
-
+
69956608 = 210531289
BaseRepresentation
bin1000010101101…
…11010000000000
311212122011102111
410022313100000
5120402102413
610535225104
71506423061
oct412672000
9155564374
1069956608
1136541487
121b518194
1311654b57
149410568
15621cd3d
hex42b7400

69956608 has 44 divisors (see below), whose sum is σ = 142594020. Its totient is φ = 34291712.

The previous prime is 69956599. The next prime is 69956609. The reversal of 69956608 is 80665996.

It can be written as a sum of positive squares in 2 ways, for example, as 53699584 + 16257024 = 7328^2 + 4032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69956609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53628 + ... + 54916.

Almost surely, 269956608 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 69956608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71297010).

69956608 is an abundant number, since it is smaller than the sum of its proper divisors (72637412).

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

69956608 is a wasteful number, since it uses less digits than its factorization.

69956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 69956608 is about 8364.0066953584. The cubic root of 69956608 is about 412.0433548494.

The spelling of 69956608 in words is "sixty-nine million, nine hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1289 1696 2578 3392 5156 6784 10312 13568 20624 27136 41248 54272 68317 82496 136634 164992 273268 329984 546536 659968 1093072 1319936 2186144 4372288 8744576 17489152 34978304 69956608