Search a number
-
+
785325852 = 2232315031399
BaseRepresentation
bin101110110011110…
…001111100011100
32000201201200112200
4232303301330130
53102020411402
6205532131500
725314105513
oct5663617434
92021650480
10785325852
11373328a33
1219b006b90
13c691596c
147642967a
1548e2921c
hex2ecf1f1c

785325852 has 72 divisors (see below), whose sum is σ = 2054707200. Its totient is φ = 252646560.

The previous prime is 785325847. The next prime is 785325907. The reversal of 785325852 is 258523587.

It is a junction number, because it is equal to n+sod(n) for n = 785325798 and 785325807.

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, 560649 + ... + 562047.

It is an arithmetic number, because the mean of its divisors is an integer number (28537600).

Almost surely, 2785325852 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 785325852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027353600).

785325852 is an abundant number, since it is smaller than the sum of its proper divisors (1269381348).

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

785325852 is a wasteful number, since it uses less digits than its factorization.

785325852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1938 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 785325852 is about 28023.6659272123. The cubic root of 785325852 is about 922.6067578653.

The spelling of 785325852 in words is "seven hundred eighty-five million, three hundred twenty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 503 558 1006 1116 1399 1509 2012 2798 3018 4197 4527 5596 6036 8394 9054 12591 15593 16788 18108 25182 31186 43369 46779 50364 62372 86738 93558 130107 140337 173476 187116 260214 280674 390321 520428 561348 703697 780642 1407394 1561284 2111091 2814788 4222182 6333273 8444364 12666546 21814607 25333092 43629214 65443821 87258428 130887642 196331463 261775284 392662926 785325852