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5609472 = 21131183
BaseRepresentation
bin10101011001100000000000
3101112222202020
4111121200000
52414000342
6320121440
765452101
oct25314000
911488666
105609472
113191530
121a66280
13121531b
14a603a8
1575c0ec
hex559800

5609472 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1679360.

The previous prime is 5609449. The next prime is 5609489. The reversal of 5609472 is 2749065.

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

It is a super-2 number, since 2×56094722 = 62932352237568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 67543 + ... + 67625.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25609472 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 5609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5609472 is an abundant number, since it is smaller than the sum of its proper divisors (10901568).

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

5609472 is a wasteful number, since it uses less digits than its factorization.

5609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5609472 is about 2368.4323929553. The cubic root of 5609472 is about 177.6808656984.

The spelling of 5609472 in words is "five million, six hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 256 264 332 352 384 498 512 528 664 704 768 913 996 1024 1056 1328 1408 1536 1826 1992 2048 2112 2656 2739 2816 3072 3652 3984 4224 5312 5478 5632 6144 7304 7968 8448 10624 10956 11264 14608 15936 16896 21248 21912 22528 29216 31872 33792 42496 43824 58432 63744 67584 84992 87648 116864 127488 169984 175296 233728 254976 350592 467456 509952 701184 934912 1402368 1869824 2804736 5609472