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5589408 = 253116779
BaseRepresentation
bin10101010100100110100000
3101111222020010
4111110212200
52412330113
6315444520
765336436
oct25244640
911458203
105589408
113178450
121a56740
131209156
14a56d56
157561c3
hex5549a0

5589408 has 96 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1647360.

The previous prime is 5589383. The next prime is 5589443. The reversal of 5589408 is 8049855.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70713 + ... + 70791.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 25589408 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 5589408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

5589408 is an abundant number, since it is smaller than the sum of its proper divisors (10861152).

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

5589408 is a wasteful number, since it uses less digits than its factorization.

5589408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 5589408 is about 2364.1928855320. The cubic root of 5589408 is about 177.4687692193.

The spelling of 5589408 in words is "five million, five hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 79 88 96 132 134 158 176 201 237 264 268 316 352 402 474 528 536 632 737 804 869 948 1056 1072 1264 1474 1608 1738 1896 2144 2211 2528 2607 2948 3216 3476 3792 4422 5214 5293 5896 6432 6952 7584 8844 10428 10586 11792 13904 15879 17688 20856 21172 23584 27808 31758 35376 41712 42344 58223 63516 70752 83424 84688 116446 127032 169376 174669 232892 254064 349338 465784 508128 698676 931568 1397352 1863136 2794704 5589408