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2040523424 = 25414733091
BaseRepresentation
bin111100110011111…
…1110101010100000
312021012121022220122
41321213332222200
513134333222144
6534251255412
7101365106612
oct17147765240
95235538818
102040523424
119579054a5
1248b44a568
13266995214
14155006db2
15be2197ee
hex799feaa0

2040523424 has 48 divisors (see below), whose sum is σ = 4202948736. Its totient is φ = 974169600.

The previous prime is 2040523423. The next prime is 2040523451. The reversal of 2040523424 is 4243250402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2040523393 and 2040523402.

It is not an unprimeable number, because it can be changed into a prime (2040523423) 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, 45119 + ... + 78209.

It is an arithmetic number, because the mean of its divisors is an integer number (87561432).

Almost surely, 22040523424 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 2040523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101474368).

2040523424 is an abundant number, since it is smaller than the sum of its proper divisors (2162425312).

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

2040523424 is a wasteful number, since it uses less digits than its factorization.

2040523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33189 (or 33181 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2040523424 is about 45172.1531919832. The cubic root of 2040523424 is about 1268.3736024569.

Adding to 2040523424 its reverse (4243250402), we get a palindrome (6283773826).

The spelling of 2040523424 in words is "two billion, forty million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 47 82 94 164 188 328 376 656 752 1312 1504 1927 3854 7708 15416 30832 33091 61664 66182 132364 264728 529456 1058912 1356731 1555277 2713462 3110554 5426924 6221108 10853848 12442216 21707696 24884432 43415392 49768864 63766357 127532714 255065428 510130856 1020261712 2040523424