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65201152 = 210411553
BaseRepresentation
bin1111100010111…
…0010000000000
311112200120011111
43320232100000
5113142414102
610245253104
71421125552
oct370562000
9145616144
1065201152
1133893655
1219a04194
131067b483
1489334d2
155acdcd7
hex3e2e400

65201152 has 44 divisors (see below), whose sum is σ = 133603596. Its totient is φ = 31784960.

The previous prime is 65201107. The next prime is 65201197. The reversal of 65201152 is 25110256.

It is an interprime number because it is at equal distance from previous prime (65201107) and next prime (65201197).

It can be written as a sum of positive squares in 2 ways, for example, as 4734976 + 60466176 = 2176^2 + 7776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41208 + ... + 42760.

Almost surely, 265201152 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 65201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66801798).

65201152 is an abundant number, since it is smaller than the sum of its proper divisors (68402444).

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

65201152 is a wasteful number, since it uses less digits than its factorization.

65201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 65201152 is about 8074.7230293057. The cubic root of 65201152 is about 402.4869062006.

The spelling of 65201152 in words is "sixty-five million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1553 2624 3106 5248 6212 10496 12424 20992 24848 41984 49696 63673 99392 127346 198784 254692 397568 509384 795136 1018768 1590272 2037536 4075072 8150144 16300288 32600576 65201152