Search a number
-
+
80199288 = 2333135
BaseRepresentation
bin1001100011110…
…11111001111000
312120220112202000
410301323321320
5131012334123
611542541000
71662453111
oct461737170
9176815660
1080199288
11412a7a04
1222a37760
1313800000
14a919208
157092b43
hex4c7be78

80199288 has 96 divisors (see below), whose sum is σ = 241340400. Its totient is φ = 24676704.

The previous prime is 80199283. The next prime is 80199293. The reversal of 80199288 is 88299108.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (80199283) and next prime (80199293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80199281) 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, 6169170 + ... + 6169182.

Almost surely, 280199288 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 80199288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120670200).

80199288 is an abundant number, since it is smaller than the sum of its proper divisors (161141112).

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

80199288 is an frugal number, since it uses more digits than its factorization.

80199288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 80199288 is about 8955.4055184564. The cubic root of 80199288 is about 431.2444354670.

The spelling of 80199288 in words is "eighty million, one hundred ninety-nine thousand, two hundred eighty-eight".

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 2197 2808 3042 4056 4394 4563 6084 6591 8788 9126 12168 13182 17576 18252 19773 26364 28561 36504 39546 52728 57122 59319 79092 85683 114244 118638 158184 171366 228488 237276 257049 342732 371293 474552 514098 685464 742586 771147 1028196 1113879 1485172 1542294 2056392 2227758 2970344 3084588 3341637 4455516 6169176 6683274 8911032 10024911 13366548 20049822 26733096 40099644 80199288