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65616464 = 2417317761
BaseRepresentation
bin1111101001001…
…1101001010000
311120110122212102
43322103221100
5113244211324
610302215532
71424505434
oct372235120
9146418772
1065616464
1134047691
1219b845a8
1310795514
148a009c4
155b61dae
hex3e93a50

65616464 has 40 divisors (see below), whose sum is σ = 135212328. Its totient is φ = 30740480.

The previous prime is 65616461. The next prime is 65616487. The reversal of 65616464 is 46461656.

65616464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 64963600 = 808^2 + 8060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65616461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85844 + ... + 86604.

Almost surely, 265616464 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 65616464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606164).

65616464 is an abundant number, since it is smaller than the sum of its proper divisors (69595864).

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

65616464 is a wasteful number, since it uses less digits than its factorization.

65616464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 65616464 is about 8100.3990025183. The cubic root of 65616464 is about 403.3396722057.

The spelling of 65616464 in words is "sixty-five million, six hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 317 634 761 1268 1522 2536 3044 5072 5389 6088 10778 12176 12937 21556 25874 43112 51748 86224 103496 206992 241237 482474 964948 1929896 3859792 4101029 8202058 16404116 32808232 65616464