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65988416 = 261326101
BaseRepresentation
bin1111101110111…
…0011101000000
311121011120002102
43323232131000
5113343112131
610314205532
71430615024
oct373563500
9147146072
1065988416
113428108a
121a1238a8
1310895900
148a9a384
155bd71cb
hex3eee740

65988416 has 42 divisors (see below), whose sum is σ = 141816582. Its totient is φ = 30451200.

The previous prime is 65988401. The next prime is 65988457. The reversal of 65988416 is 61488956.

It can be written as a sum of positive squares in 3 ways, for example, as 313600 + 65674816 = 560^2 + 8104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7766 + ... + 13866.

Almost surely, 265988416 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 65988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70908291).

65988416 is an abundant number, since it is smaller than the sum of its proper divisors (75828166).

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

65988416 is a wasteful number, since it uses less digits than its factorization.

65988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6116 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 65988416 is about 8123.3254274343. The cubic root of 65988416 is about 404.1003573837.

The spelling of 65988416 in words is "sixty-five million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6101 10816 12202 24404 48808 79313 97616 158626 195232 317252 390464 634504 1031069 1269008 2062138 2538016 4124276 5076032 8248552 16497104 32994208 65988416