Search a number
-
+
88255288 = 23114161401
BaseRepresentation
bin1010100001010…
…10101100111000
320011001211111101
411100222230320
5140043132123
612431341144
72121105022
oct520525470
9204054441
1088255288
11458aa560
12256817b4
1315390a84
14ba15012
157b34aad
hex542ab38

88255288 has 64 divisors (see below), whose sum is σ = 188425440. Its totient is φ = 38400000.

The previous prime is 88255283. The next prime is 88255303.

88255288 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88255283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219888 + ... + 220288.

Almost surely, 288255288 is an apocalyptic number.

88255288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88255288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212720).

88255288 is an abundant number, since it is smaller than the sum of its proper divisors (100170152).

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

88255288 is a wasteful number, since it uses less digits than its factorization.

88255288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its digits is 409600, while the sum is 46.

The square root of 88255288 is about 9394.4285616529. The cubic root of 88255288 is about 445.2257206086.

The spelling of 88255288 in words is "eighty-eight million, two hundred fifty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 41 44 61 82 88 122 164 244 328 401 451 488 671 802 902 1342 1604 1804 2501 2684 3208 3608 4411 5002 5368 8822 10004 16441 17644 20008 24461 27511 32882 35288 48922 55022 65764 97844 110044 131528 180851 195688 220088 269071 361702 538142 723404 1002901 1076284 1446808 2005802 2152568 4011604 8023208 11031911 22063822 44127644 88255288