Search a number
-
+
5506956 = 2232713412
BaseRepresentation
bin10101000000011110001100
3101100210010100
4111000132030
52402210311
6314011100
764544160
oct25003614
911323110
105506956
113121504
121a16a90
1311aa770
14a34ca0
1573ba56
hex54078c

5506956 has 108 divisors (see below), whose sum is σ = 17560816. Its totient is φ = 1416960.

The previous prime is 5506951. The next prime is 5506961. The reversal of 5506956 is 6596055.

It is an interprime number because it is at equal distance from previous prime (5506951) and next prime (5506961).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5506956.

It is not an unprimeable number, because it can be changed into a prime (5506951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134296 + ... + 134336.

Almost surely, 25506956 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 5506956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780408).

5506956 is an abundant number, since it is smaller than the sum of its proper divisors (12053860).

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

5506956 is a wasteful number, since it uses less digits than its factorization.

5506956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5506956 is about 2346.6904354857. The cubic root of 5506956 is about 176.5918008803.

The spelling of 5506956 in words is "five million, five hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 156 164 182 234 246 252 273 287 364 369 468 492 533 546 574 738 819 861 1066 1092 1148 1476 1599 1638 1681 1722 2132 2583 3198 3276 3362 3444 3731 4797 5043 5166 6396 6724 7462 9594 10086 10332 11193 11767 14924 15129 19188 20172 21853 22386 23534 30258 33579 35301 43706 44772 47068 60516 65559 67158 70602 87412 105903 131118 134316 141204 152971 196677 211806 262236 305942 393354 423612 458913 611884 786708 917826 1376739 1835652 2753478 5506956