Search a number
-
+
78882150 = 23523761233
BaseRepresentation
bin1001011001110…
…10010101100110
312111102121222010
410230322111212
5130143212100
611454415050
71645326054
oct454722546
9174377863
1078882150
1140588366
1222501486
131345b639
14a6951d4
156dd2750
hex4b3a566

78882150 has 96 divisors (see below), whose sum is σ = 205085088. Its totient is φ = 20044800.

The previous prime is 78882143. The next prime is 78882151. The reversal of 78882150 is 5128887.

It is a junction number, because it is equal to n+sod(n) for n = 78882099 and 78882108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78882151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338434 + ... + 338666.

It is an arithmetic number, because the mean of its divisors is an integer number (2136303).

Almost surely, 278882150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78882150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102542544).

78882150 is an abundant number, since it is smaller than the sum of its proper divisors (126202938).

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

78882150 is a wasteful number, since it uses less digits than its factorization.

78882150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 78882150 is about 8881.5623625576. The cubic root of 78882150 is about 428.8705713086.

The spelling of 78882150 in words is "seventy-eight million, eight hundred eighty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 61 74 75 111 122 150 183 185 222 233 305 366 370 466 555 610 699 915 925 1110 1165 1398 1525 1830 1850 2257 2330 2775 3050 3495 4514 4575 5550 5825 6771 6990 8621 9150 11285 11650 13542 14213 17242 17475 22570 25863 28426 33855 34950 42639 43105 51726 56425 67710 71065 85278 86210 112850 129315 142130 169275 213195 215525 258630 338550 355325 426390 431050 525881 646575 710650 1051762 1065975 1293150 1577643 2131950 2629405 3155286 5258810 7888215 13147025 15776430 26294050 39441075 78882150