Search a number
-
+
2040048 = 243231457
BaseRepresentation
bin111110010000011110000
310211122102100
413302003300
51010240143
6111420400
723224443
oct7620360
93748370
102040048
11117379a
12824700
1356573a
143b165a
152a46d3
hex1f20f0

2040048 has 60 divisors (see below), whose sum is σ = 5906368. Its totient is φ = 656640.

The previous prime is 2040047. The next prime is 2040053. The reversal of 2040048 is 8400402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2040048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040041) 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, 4236 + ... + 4692.

22040048 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 2040048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953184).

2040048 is an abundant number, since it is smaller than the sum of its proper divisors (3866320).

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

2040048 is a wasteful number, since it uses less digits than its factorization.

2040048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2040048 is about 1428.3024889707. The cubic root of 2040048 is about 126.8275088177.

The spelling of 2040048 in words is "two million, forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 457 496 558 744 914 1116 1371 1488 1828 2232 2742 3656 4113 4464 5484 7312 8226 10968 14167 16452 21936 28334 32904 42501 56668 65808 85002 113336 127503 170004 226672 255006 340008 510012 680016 1020024 2040048