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2032542240 = 25354234463
BaseRepresentation
bin111100100100110…
…0010001000100000
312020122120211210020
41321021202020200
513130312322430
6533404233440
7101240216061
oct17111421040
95218524706
102032542240
11953354083
1248883b880
1326512c521
14153d2a568
15bd68eb10
hex79262220

2032542240 has 48 divisors (see below), whose sum is σ = 6402509568. Its totient is φ = 542011136.

The previous prime is 2032542221. The next prime is 2032542283. The reversal of 2032542240 is 422452302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2032542240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2116752 + ... + 2117711.

It is an arithmetic number, because the mean of its divisors is an integer number (133385616).

Almost surely, 22032542240 is an apocalyptic number.

2032542240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032542240 is an abundant number, since it is smaller than the sum of its proper divisors (4369967328).

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

2032542240 is a wasteful number, since it uses less digits than its factorization.

2032542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234481 (or 4234473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2032542240 is about 45083.7247795698. The cubic root of 2032542240 is about 1266.7177609430.

Adding to 2032542240 its reverse (422452302), we get a palindrome (2454994542).

The spelling of 2032542240 in words is "two billion, thirty-two million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4234463 8468926 12703389 16937852 21172315 25406778 33875704 42344630 50813556 63516945 67751408 84689260 101627112 127033890 135502816 169378520 203254224 254067780 338757040 406508448 508135560 677514080 1016271120 2032542240