Search a number
-
+
58969344 = 283721567
BaseRepresentation
bin1110000011110…
…0110100000000
311002221221201210
43200330310000
5110044004334
65503530120
71314142200
oct340746400
9132857653
1058969344
11303175a5
12178b9940
13c2a8b05
147b90400
15529c5e9
hex383cd00

58969344 has 108 divisors (see below), whose sum is σ = 182684544. Its totient is φ = 16837632.

The previous prime is 58969343. The next prime is 58969363. The reversal of 58969344 is 44396985.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 58969293 and 58969302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58969343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36849 + ... + 38415.

Almost surely, 258969344 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 58969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91342272).

58969344 is an abundant number, since it is smaller than the sum of its proper divisors (123715200).

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

58969344 is a wasteful number, since it uses less digits than its factorization.

58969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 58969344 is about 7679.1499529570. The cubic root of 58969344 is about 389.2322040878.

58969344 divided by its sum of digits (48) gives a triangular number (1228528 = T1567).

The spelling of 58969344 in words is "fifty-eight million, nine hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1567 1568 1792 2352 2688 3134 3136 4701 4704 5376 6268 6272 9402 9408 10969 12536 12544 18804 18816 21938 25072 32907 37608 37632 43876 50144 65814 75216 76783 87752 100288 131628 150432 153566 175504 200576 230349 263256 300864 307132 351008 401152 460698 526512 601728 614264 702016 921396 1053024 1203456 1228528 1404032 1842792 2106048 2457056 2808064 3685584 4212096 4914112 7371168 8424192 9828224 14742336 19656448 29484672 58969344