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69968832 = 263373977
BaseRepresentation
bin1000010101110…
…10001111000000
311212122210012020
410022322033000
5120403000312
610535401440
71506503523
oct412721700
9155583166
1069968832
113654a68a
121b523280
131165a59b
149414bba
15622178c
hex42ba3c0

69968832 has 56 divisors (see below), whose sum is σ = 185812176. Its totient is φ = 23236608.

The previous prime is 69968797. The next prime is 69968879. The reversal of 69968832 is 23886996.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71128 + ... + 72104.

Almost surely, 269968832 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 69968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92906088).

69968832 is an abundant number, since it is smaller than the sum of its proper divisors (115843344).

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

69968832 is a wasteful number, since it uses less digits than its factorization.

69968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 69968832 is about 8364.7374136909. The cubic root of 69968832 is about 412.0673531762.

The spelling of 69968832 in words is "sixty-nine million, nine hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 373 746 977 1119 1492 1954 2238 2931 2984 3908 4476 5862 5968 7816 8952 11724 11936 15632 17904 23448 23872 31264 35808 46896 62528 71616 93792 187584 364421 728842 1093263 1457684 2186526 2915368 4373052 5830736 8746104 11661472 17492208 23322944 34984416 69968832