Search a number
-
+
80783352 = 23331322213
BaseRepresentation
bin1001101000010…
…10011111111000
312122000012221000
410310022133320
5131140031402
612003245000
72000434656
oct464123770
9178005830
1080783352
1141666801
1223079760
1313975b00
14aa2bdd6
15715ac1c
hex4d0a7f8

80783352 has 96 divisors (see below), whose sum is σ = 243097200. Its totient is φ = 24845184.

The previous prime is 80783327. The next prime is 80783359. The reversal of 80783352 is 25338708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80783359) 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, 35398 + ... + 37610.

Almost surely, 280783352 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 80783352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121548600).

80783352 is an abundant number, since it is smaller than the sum of its proper divisors (162313848).

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

80783352 is a wasteful number, since it uses less digits than its factorization.

80783352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80783352 is about 8987.9559411470. The cubic root of 80783352 is about 432.2887729744.

The spelling of 80783352 in words is "eighty million, seven hundred eighty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2213 2808 3042 4056 4426 4563 6084 6639 8852 9126 12168 13278 17704 18252 19917 26556 28769 36504 39834 53112 57538 59751 79668 86307 115076 119502 159336 172614 230152 239004 258921 345228 373997 478008 517842 690456 747994 776763 1035684 1121991 1495988 1553526 2071368 2243982 2991976 3107052 3365973 4487964 6214104 6731946 8975928 10097919 13463892 20195838 26927784 40391676 80783352