Search a number
-
+
80488616 = 23132371609
BaseRepresentation
bin1001100110000…
…10100010101000
312121110020121212
410303002202220
5131101113431
611553052252
71665066455
oct463024250
9177406555
1080488616
114148531a
1222b57088
13138a1900
14a99282c
1570ed72b
hex4cc28a8

80488616 has 48 divisors (see below), whose sum is σ = 167939100. Its totient is φ = 36122112.

The previous prime is 80488613. The next prime is 80488619. The reversal of 80488616 is 61688408.

It is an interprime number because it is at equal distance from previous prime (80488613) and next prime (80488619).

It can be written as a sum of positive squares in 6 ways, for example, as 52504516 + 27984100 = 7246^2 + 5290^2 .

It is not an unprimeable number, because it can be changed into a prime (80488613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49220 + ... + 50828.

Almost surely, 280488616 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 80488616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83969550).

80488616 is an abundant number, since it is smaller than the sum of its proper divisors (87450484).

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

80488616 is a wasteful number, since it uses less digits than its factorization.

80488616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 80488616 is about 8971.5447945156. The cubic root of 80488616 is about 431.7624007806.

The spelling of 80488616 in words is "eighty million, four hundred eighty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1609 1924 3218 3848 6253 6436 12506 12872 20917 25012 41834 50024 59533 83668 119066 167336 238132 271921 476264 543842 773929 1087684 1547858 2175368 3095716 6191432 10061077 20122154 40244308 80488616