Search a number
-
+
5909344 = 257233137
BaseRepresentation
bin10110100010101101100000
3102010020002121
4112202231200
53003044334
6330354024
7101141260
oct26425540
912106077
105909344
113376861
121b8b914
1312bb96c
14adb7a0
157badb4
hex5a2b60

5909344 has 96 divisors (see below), whose sum is σ = 14708736. Its totient is φ = 2280960.

The previous prime is 5909317. The next prime is 5909383. The reversal of 5909344 is 4439095.

It is a congruent number.

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, 159694 + ... + 159730.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 25909344 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 5909344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368).

5909344 is an abundant number, since it is smaller than the sum of its proper divisors (8799392).

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

5909344 is a wasteful number, since it uses less digits than its factorization.

5909344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5909344 is about 2430.9142313130. The cubic root of 5909344 is about 180.7922282403.

The spelling of 5909344 in words is "five million, nine hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 37 46 56 62 74 92 112 124 148 161 184 217 224 248 259 296 322 368 434 496 518 592 644 713 736 851 868 992 1036 1147 1184 1288 1426 1702 1736 2072 2294 2576 2852 3404 3472 4144 4588 4991 5152 5704 5957 6808 6944 8029 8288 9176 9982 11408 11914 13616 16058 18352 19964 22816 23828 26381 27232 32116 36704 39928 47656 52762 64232 79856 95312 105524 128464 159712 184667 190624 211048 256928 369334 422096 738668 844192 1477336 2954672 5909344