Search a number
-
+
7965048 = 2337213521
BaseRepresentation
bin11110011000100101111000
3112222122222210
4132120211320
54014340143
6442415120
7124462500
oct36304570
915878883
107965048
114550293
1228014a0
13185b560
1410b4a00
15a75033
hex798978

7965048 has 96 divisors (see below), whose sum is σ = 24993360. Its totient is φ = 2096640.

The previous prime is 7965037. The next prime is 7965049. The reversal of 7965048 is 8405697.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 7964997 and 7965015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15028 + ... + 15548.

Almost surely, 27965048 is an apocalyptic number.

7965048 is a gapful number since it is divisible by the number (78) 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 7965048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496680).

7965048 is an abundant number, since it is smaller than the sum of its proper divisors (17028312).

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

7965048 is a wasteful number, since it uses less digits than its factorization.

7965048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7965048 is about 2822.2416622253. The cubic root of 7965048 is about 199.7083081194.

The spelling of 7965048 in words is "seven million, nine hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 521 546 588 637 728 1042 1092 1176 1274 1563 1911 2084 2184 2548 3126 3647 3822 4168 5096 6252 6773 7294 7644 10941 12504 13546 14588 15288 20319 21882 25529 27092 29176 40638 43764 47411 51058 54184 76587 81276 87528 94822 102116 142233 153174 162552 189644 204232 284466 306348 331877 379288 568932 612696 663754 995631 1137864 1327508 1991262 2655016 3982524 7965048