Search a number
-
+
80253696 = 283831259
BaseRepresentation
bin1001100100010…
…01001100000000
312121000022101010
410302021030000
5131021104241
611544040520
71663100535
oct462111400
9177008333
1080253696
1141334876
1222a63140
131381b9c3
14a930d8c
1570a3d16
hex4c89300

80253696 has 72 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 26407936.

The previous prime is 80253683. The next prime is 80253697. The reversal of 80253696 is 69635208.

It is not an unprimeable number, because it can be changed into a prime (80253697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63115 + ... + 64373.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 280253696 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 80253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

80253696 is an abundant number, since it is smaller than the sum of its proper divisors (136083264).

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

80253696 is a wasteful number, since it uses less digits than its factorization.

80253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 80253696 is about 8958.4427218128. The cubic root of 80253696 is about 431.3419336034.

The spelling of 80253696 in words is "eighty million, two hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1259 1328 1992 2518 2656 3777 3984 5036 5312 7554 7968 10072 10624 15108 15936 20144 21248 30216 31872 40288 60432 63744 80576 104497 120864 161152 208994 241728 313491 322304 417988 483456 626982 835976 966912 1253964 1671952 2507928 3343904 5015856 6687808 10031712 13375616 20063424 26751232 40126848 80253696