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5506368 = 263717241
BaseRepresentation
bin10101000000010101000000
3101100202022120
4111000111000
52402200433
6314004240
764542360
oct25002500
911322276
105506368
11312101a
121a16680
1311aa40a
14a349a0
1573b7b3
hex540540

5506368 has 112 divisors (see below), whose sum is σ = 17702784. Its totient is φ = 1474560.

The previous prime is 5506363. The next prime is 5506381. The reversal of 5506368 is 8636055.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22728 + ... + 22968.

Almost surely, 25506368 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 5506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851392).

5506368 is an abundant number, since it is smaller than the sum of its proper divisors (12196416).

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

5506368 is a wasteful number, since it uses less digits than its factorization.

5506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5506368 is about 2346.5651493193. The cubic root of 5506368 is about 176.5855155159.

The spelling of 5506368 in words is "five million, five hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 241 272 336 357 408 448 476 482 544 672 714 723 816 952 964 1088 1344 1428 1446 1632 1687 1904 1928 2856 2892 3264 3374 3808 3856 4097 5061 5712 5784 6748 7616 7712 8194 10122 11424 11568 12291 13496 15424 16388 20244 22848 23136 24582 26992 28679 32776 40488 46272 49164 53984 57358 65552 80976 86037 98328 107968 114716 131104 161952 172074 196656 229432 262208 323904 344148 393312 458864 688296 786624 917728 1376592 1835456 2753184 5506368