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65038336 = 211112887
BaseRepresentation
bin1111100000011…
…0100000000000
311112101021211021
43320012200000
5113122211321
610241555224
71416550066
oct370064000
9145337737
1065038336
11337922a0
1219945b14
131062232c
1488d0036
155a9a941
hex3e06800

65038336 has 48 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 29552640.

The previous prime is 65038333. The next prime is 65038399. The reversal of 65038336 is 63383056.

It is a happy number.

It is a super-3 number, since 3×650383363 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (65038333) 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, 21085 + ... + 23971.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 265038336 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 65038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958160).

65038336 is an abundant number, since it is smaller than the sum of its proper divisors (76877984).

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

65038336 is a wasteful number, since it uses less digits than its factorization.

65038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 65038336 is about 8064.6348956416. The cubic root of 65038336 is about 402.1516057306.

The spelling of 65038336 in words is "sixty-five million, thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 2887 5632 5774 11264 11548 22528 23096 31757 46192 63514 92384 127028 184768 254056 369536 508112 739072 1016224 1478144 2032448 2956288 4064896 5912576 8129792 16259584 32519168 65038336