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65384448 = 212317313
BaseRepresentation
bin1111100101101…
…1000000000000
311120000212121020
43321123000000
5113214300243
610253225440
71422521133
oct371330000
9146025536
1065384448
11339a9338
1219a92280
1310713a2c
14898021a
155b18283
hex3e5b000

65384448 has 104 divisors (see below), whose sum is σ = 185182128. Its totient is φ = 20447232.

The previous prime is 65384447. The next prime is 65384489. The reversal of 65384448 is 84448356.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65384443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208740 + ... + 209052.

Almost surely, 265384448 is an apocalyptic number.

65384448 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 65384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92591064).

65384448 is an abundant number, since it is smaller than the sum of its proper divisors (119797680).

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

65384448 is a wasteful number, since it uses less digits than its factorization.

65384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 65384448 is about 8086.0650504433. The cubic root of 65384448 is about 402.8637155725.

The spelling of 65384448 in words is "sixty-five million, three hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 313 384 408 512 544 626 768 816 939 1024 1088 1252 1536 1632 1878 2048 2176 2504 3072 3264 3756 4096 4352 5008 5321 6144 6528 7512 8704 10016 10642 12288 13056 15024 15963 17408 20032 21284 26112 30048 31926 34816 40064 42568 52224 60096 63852 69632 80128 85136 104448 120192 127704 160256 170272 208896 240384 255408 320512 340544 480768 510816 641024 681088 961536 1021632 1282048 1362176 1923072 2043264 2724352 3846144 4086528 5448704 8173056 10897408 16346112 21794816 32692224 65384448