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5180448 = 253713593
BaseRepresentation
bin10011110000110000100000
3100202012020110
4103300300200
52311233243
6303011320
762014230
oct23606040
910665213
105180448
112a19169
121899b40
1310c4c70
1498bcc0
156c4e33
hex4f0c20

5180448 has 96 divisors (see below), whose sum is σ = 16765056. Its totient is φ = 1363968.

The previous prime is 5180447. The next prime is 5180449. The reversal of 5180448 is 8440815.

It is an interprime number because it is at equal distance from previous prime (5180447) and next prime (5180449).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5180447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8440 + ... + 9032.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 25180448 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 5180448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528).

5180448 is an abundant number, since it is smaller than the sum of its proper divisors (11584608).

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

5180448 is a wasteful number, since it uses less digits than its factorization.

5180448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 5180448 is about 2276.0597531699. The cubic root of 5180448 is about 173.0304110838.

The spelling of 5180448 in words is "five million, one hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 593 624 672 728 1092 1186 1248 1456 1779 2184 2372 2912 3558 4151 4368 4744 7116 7709 8302 8736 9488 12453 14232 15418 16604 18976 23127 24906 28464 30836 33208 46254 49812 53963 56928 61672 66416 92508 99624 107926 123344 132832 161889 185016 199248 215852 246688 323778 370032 398496 431704 647556 740064 863408 1295112 1726816 2590224 5180448