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65376288 = 2533174451
BaseRepresentation
bin1111100101100…
…1000000100000
311120000110102000
43321121000200
5113214020123
610253124000
71422455265
oct371310040
9146013360
1065376288
11339a319a
1219a89600
13107100c3
14897b26c
155b15b43
hex3e59020

65376288 has 96 divisors (see below), whose sum is σ = 201942720. Its totient is φ = 20505600.

The previous prime is 65376257. The next prime is 65376329. The reversal of 65376288 is 88267356.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12463 + ... + 16913.

It is an arithmetic number, because the mean of its divisors is an integer number (2103570).

Almost surely, 265376288 is an apocalyptic number.

65376288 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65376288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100971360).

65376288 is an abundant number, since it is smaller than the sum of its proper divisors (136566432).

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

65376288 is a wasteful number, since it uses less digits than its factorization.

65376288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4473 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 65376288 is about 8085.5604629487. The cubic root of 65376288 is about 402.8469557018.

The spelling of 65376288 in words is "sixty-five million, three hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4451 4896 7344 8902 13353 14688 17804 26706 35608 40059 53412 71216 75667 80118 106824 120177 142432 151334 160236 213648 227001 240354 302668 320472 427296 454002 480708 605336 640944 681003 908004 961416 1210672 1281888 1362006 1816008 1922832 2043009 2421344 2724012 3632016 3845664 4086018 5448024 7264032 8172036 10896048 16344072 21792096 32688144 65376288