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245088 = 25322337
BaseRepresentation
bin111011110101100000
3110110012100
4323311200
530320323
65130400
72040354
oct736540
9413170
10245088
11158158
12b9a00
138772c
1465464
154c943
hex3bd60

245088 has 72 divisors (see below), whose sum is σ = 746928. Its totient is φ = 76032.

The previous prime is 245087. The next prime is 245107. The reversal of 245088 is 880542.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245083) 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, 6606 + ... + 6642.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2245088 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 245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

245088 is an abundant number, since it is smaller than the sum of its proper divisors (501840).

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

245088 is a wasteful number, since it uses less digits than its factorization.

245088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 245088 is about 495.0636322737. The cubic root of 245088 is about 62.5807383229.

The spelling of 245088 in words is "two hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 552 592 666 736 828 851 888 1104 1184 1332 1656 1702 1776 2208 2553 2664 3312 3404 3552 5106 5328 6624 6808 7659 10212 10656 13616 15318 20424 27232 30636 40848 61272 81696 122544 245088