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5405664 = 253115119
BaseRepresentation
bin10100100111101111100000
3101011122011210
4110213233200
52340440124
6311510120
763642645
oct24475740
911148153
105405664
1130623a0
121988340
131173624
14a09dcc
1571ba29
hex527be0

5405664 has 48 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1637760.

The previous prime is 5405641. The next prime is 5405669. The reversal of 5405664 is 4665045.

5405664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405669) 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, 1504 + ... + 3615.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 25405664 is an apocalyptic number.

It is an amenable number.

5405664 is an abundant number, since it is smaller than the sum of its proper divisors (10077216).

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

5405664 is a wasteful number, since it uses less digits than its factorization.

5405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5405664 is about 2325.0083870816. The cubic root of 5405664 is about 175.5023822535.

The spelling of 5405664 in words is "five million, four hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5119 10238 15357 20476 30714 40952 56309 61428 81904 112618 122856 163808 168927 225236 245712 337854 450472 491424 675708 900944 1351416 1801888 2702832 5405664