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5162976 = 2532713197
BaseRepresentation
bin10011101100011111100000
3100201022021100
4103230133200
52310203401
6302354400
761612260
oct23543740
910638240
105162976
112a07025
12188ba00
1310ba020
149857a0
156beb86
hex4ec7e0

5162976 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1354752.

The previous prime is 5162947. The next prime is 5162981. The reversal of 5162976 is 6792615.

It is a tau number, because it is divible by the number of its divisors (144).

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 5162976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26110 + ... + 26306.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 25162976 is an apocalyptic number.

5162976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5162976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5162976 is an abundant number, since it is smaller than the sum of its proper divisors (12999168).

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

5162976 is a wasteful number, since it uses less digits than its factorization.

5162976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 5162976 is about 2272.2182993718. The cubic root of 5162976 is about 172.8356665061.

The spelling of 5162976 in words is "five million, one hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 197 208 224 234 252 273 288 312 336 364 394 416 468 504 546 591 624 672 728 788 819 936 1008 1092 1182 1248 1379 1456 1576 1638 1773 1872 2016 2184 2364 2561 2758 2912 3152 3276 3546 3744 4137 4368 4728 5122 5516 6304 6552 7092 7683 8274 8736 9456 10244 11032 12411 13104 14184 15366 16548 17927 18912 20488 22064 23049 24822 26208 28368 30732 33096 35854 40976 44128 46098 49644 53781 56736 61464 66192 71708 81952 92196 99288 107562 122928 132384 143416 161343 184392 198576 215124 245856 286832 322686 368784 397152 430248 573664 645372 737568 860496 1290744 1720992 2581488 5162976