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2264752 = 24773277
BaseRepresentation
bin1000101000111010110000
311021001122201
420220322300
51034433002
6120312544
725151530
oct10507260
94231581
102264752
1113075a6
12912754
13613ab9
1442d4c0
152eb087
hex228eb0

2264752 has 40 divisors (see below), whose sum is σ = 5101856. Its totient is φ = 953856.

The previous prime is 2264749. The next prime is 2264753. The reversal of 2264752 is 2574622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 215 + 217 + 62 + 44 + 73 + 55 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2264752.

It is not an unprimeable number, because it can be changed into a prime (2264753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8038 + ... + 8314.

22264752 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 2264752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550928).

2264752 is an abundant number, since it is smaller than the sum of its proper divisors (2837104).

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

2264752 is a wasteful number, since it uses less digits than its factorization.

2264752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2264752 is about 1504.9092995925. The cubic root of 2264752 is about 131.3228251933.

The spelling of 2264752 in words is "two million, two hundred sixty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 277 292 511 554 584 1022 1108 1168 1939 2044 2216 3878 4088 4432 7756 8176 15512 20221 31024 40442 80884 141547 161768 283094 323536 566188 1132376 2264752