Search a number
-
+
2072592 = 243237389
BaseRepresentation
bin111111010000000010000
310220022001200
413322000100
51012310332
6112231200
723421354
oct7720020
93808050
102072592
111196195
1283b500
135774b2
143bd464
152ae17c
hex1fa010

2072592 has 60 divisors (see below), whose sum is σ = 5972460. Its totient is φ = 670464.

The previous prime is 2072579. The next prime is 2072617. The reversal of 2072592 is 2952702.

It is a happy number.

2072592 is a `hidden beast` number, since 2 + 0 + 72 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 853776 = 1104^2 + 924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5134 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (99541).

22072592 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 2072592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986230).

2072592 is an abundant number, since it is smaller than the sum of its proper divisors (3899868).

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

2072592 is a wasteful number, since it uses less digits than its factorization.

2072592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2072592 is about 1439.6499574549. The cubic root of 2072592 is about 127.4983621474.

The spelling of 2072592 in words is "two million, seventy-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 389 444 592 666 778 888 1167 1332 1556 1776 2334 2664 3112 3501 4668 5328 6224 7002 9336 14004 14393 18672 28008 28786 43179 56016 57572 86358 115144 129537 172716 230288 259074 345432 518148 690864 1036296 2072592