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5416064 = 271719131
BaseRepresentation
bin10100101010010010000000
3101012011102222
4110222102000
52341303224
6312030212
764015163
oct24522200
911164388
105416064
11306a195
121992368
131178294
14a0dada
1571eb5e
hex52a480

5416064 has 64 divisors (see below), whose sum is σ = 12117600. Its totient is φ = 2396160.

The previous prime is 5416057. The next prime is 5416087. The reversal of 5416064 is 4606145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41279 + ... + 41409.

Almost surely, 25416064 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 5416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058800).

5416064 is an abundant number, since it is smaller than the sum of its proper divisors (6701536).

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

5416064 is a wasteful number, since it uses less digits than its factorization.

5416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5416064 is about 2327.2438634574. The cubic root of 5416064 is about 175.6148602953.

The spelling of 5416064 in words is "five million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 131 136 152 262 272 304 323 524 544 608 646 1048 1088 1216 1292 2096 2176 2227 2432 2489 2584 4192 4454 4978 5168 8384 8908 9956 10336 16768 17816 19912 20672 35632 39824 41344 42313 71264 79648 84626 142528 159296 169252 285056 318592 338504 677008 1354016 2708032 5416064