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65165152 = 2513383409
BaseRepresentation
bin1111100010010…
…1011101100000
311112121201210011
43320211131200
5113140241102
610244414304
71420615603
oct370453540
9145551704
1065165152
11338695a8
12199a7394
1310667c80
14892433a
155ac32d7
hex3e25760

65165152 has 48 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 29924352.

The previous prime is 65165123. The next prime is 65165173. The reversal of 65165152 is 25156156.

65165152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 159124 + ... + 159532.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 265165152 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 65165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

65165152 is an abundant number, since it is smaller than the sum of its proper divisors (73696928).

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

65165152 is a wasteful number, since it uses less digits than its factorization.

65165152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its digits is 9000, while the sum is 31.

The square root of 65165152 is about 8072.4935428900. The cubic root of 65165152 is about 402.4128165272.

The spelling of 65165152 in words is "sixty-five million, one hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 383 409 416 766 818 1532 1636 3064 3272 4979 5317 6128 6544 9958 10634 12256 13088 19916 21268 39832 42536 79664 85072 156647 159328 170144 313294 626588 1253176 2036411 2506352 4072822 5012704 8145644 16291288 32582576 65165152