Search a number
-
+
5508972 = 223472347
BaseRepresentation
bin10101000000111101101100
3101100212220000
4111000331230
52402241342
6314024300
764553100
oct25007554
911325800
105508972
113122a77
121a18090
1311ab661
14a35900
1573c44c
hex540f6c

5508972 has 90 divisors (see below), whose sum is σ = 16801092. Its totient is φ = 1569456.

The previous prime is 5508953. The next prime is 5508991. The reversal of 5508972 is 2798055.

It is an interprime number because it is at equal distance from previous prime (5508953) and next prime (5508991).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15703 + ... + 16049.

Almost surely, 25508972 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 5508972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400546).

5508972 is an abundant number, since it is smaller than the sum of its proper divisors (11292120).

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

5508972 is a wasteful number, since it uses less digits than its factorization.

5508972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5508972 is about 2347.1199372848. The cubic root of 5508972 is about 176.6133473049.

The spelling of 5508972 in words is "five million, five hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 347 378 441 567 588 694 756 882 1041 1134 1323 1388 1764 2082 2268 2429 2646 3123 3969 4164 4858 5292 6246 7287 7938 9369 9716 12492 14574 15876 17003 18738 21861 28107 29148 34006 37476 43722 51009 56214 65583 68012 87444 102018 112428 131166 153027 196749 204036 262332 306054 393498 459081 612108 786996 918162 1377243 1836324 2754486 5508972