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2392272 = 243237449
BaseRepresentation
bin1001001000000011010000
311111112120200
421020003100
51103023042
6123135200
726222361
oct11100320
94445520
102392272
111394393
12974500
13659b5c
14463b68
15323c4c
hex2480d0

2392272 has 60 divisors (see below), whose sum is σ = 6891300. Its totient is φ = 774144.

The previous prime is 2392267. The next prime is 2392279. The reversal of 2392272 is 2722932.

2392272 is a `hidden beast` number, since 2 + 392 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 553536 = 1356^2 + 744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2392279) 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, 5104 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

22392272 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 2392272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445650).

2392272 is an abundant number, since it is smaller than the sum of its proper divisors (4499028).

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

2392272 is a wasteful number, since it uses less digits than its factorization.

2392272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2392272 is about 1546.6971261369. The cubic root of 2392272 is about 133.7427305567.

The spelling of 2392272 in words is "two million, three hundred ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 449 592 666 888 898 1332 1347 1776 1796 2664 2694 3592 4041 5328 5388 7184 8082 10776 16164 16613 21552 32328 33226 49839 64656 66452 99678 132904 149517 199356 265808 299034 398712 598068 797424 1196136 2392272