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65382064 = 24112691381
BaseRepresentation
bin1111100101101…
…0011010110000
311120000202022221
43321122122300
5113214211224
610253210424
71422511156
oct371323260
9146022287
1065382064
11339a7570
1219a90a14
1310712917
14897d3d6
155b176e4
hex3e5a6b0

65382064 has 40 divisors (see below), whose sum is σ = 138808080. Its totient is φ = 29587200.

The previous prime is 65382061. The next prime is 65382073. The reversal of 65382064 is 46028356.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (65382061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46654 + ... + 48034.

It is an arithmetic number, because the mean of its divisors is an integer number (3470202).

Almost surely, 265382064 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 65382064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69404040).

65382064 is an abundant number, since it is smaller than the sum of its proper divisors (73426016).

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

65382064 is a wasteful number, since it uses less digits than its factorization.

65382064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 65382064 is about 8085.9176349998. The cubic root of 65382064 is about 402.8588192054.

The spelling of 65382064 in words is "sixty-five million, three hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 1381 2152 2762 2959 4304 5524 5918 11048 11836 15191 22096 23672 30382 47344 60764 121528 243056 371489 742978 1485956 2971912 4086379 5943824 8172758 16345516 32691032 65382064