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5432064 = 28311643
BaseRepresentation
bin10100101110001100000000
3101012222101120
4110232030000
52342311224
6312232240
764112631
oct24561400
911188346
105432064
113080210
12199b680
131182651
14a15888
15724779
hex52e300

5432064 has 72 divisors (see below), whose sum is σ = 15796032. Its totient is φ = 1643520.

The previous prime is 5432059. The next prime is 5432087. The reversal of 5432064 is 4602345.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8127 + ... + 8769.

Almost surely, 25432064 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 5432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898016).

5432064 is an abundant number, since it is smaller than the sum of its proper divisors (10363968).

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

5432064 is a wasteful number, since it uses less digits than its factorization.

5432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5432064 is about 2330.6788710588. The cubic root of 5432064 is about 175.7876226174.

The spelling of 5432064 in words is "five million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 643 704 768 1056 1286 1408 1929 2112 2572 2816 3858 4224 5144 7073 7716 8448 10288 14146 15432 20576 21219 28292 30864 41152 42438 56584 61728 82304 84876 113168 123456 164608 169752 226336 246912 339504 452672 493824 679008 905344 1358016 1810688 2716032 5432064