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288148 = 22741251
BaseRepresentation
bin1000110010110010100
3112122021011
41012112110
533210043
610102004
72310040
oct1062624
9478234
10288148
11187543
1211a904
13a1203
1477020
155a59d
hex46594

288148 has 24 divisors (see below), whose sum is σ = 592704. Its totient is φ = 120000.

The previous prime is 288137. The next prime is 288179. The reversal of 288148 is 841882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2288148 is an apocalyptic number.

288148 is a gapful number since it is divisible by the number (28) 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 288148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352).

288148 is an abundant number, since it is smaller than the sum of its proper divisors (304556).

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

288148 is a wasteful number, since it uses less digits than its factorization.

288148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 288148 is about 536.7941877480. The cubic root of 288148 is about 66.0498551989.

It can be divided in two parts, 288 and 148, that multiplied together give a palindrome (42624).

The spelling of 288148 in words is "two hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 251 287 502 574 1004 1148 1757 3514 7028 10291 20582 41164 72037 144074 288148