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2542132432 = 24731732181
BaseRepresentation
bin1001011110000101…
…1101110011010000
320120011110201010001
42113201131303100
520201241214212
61100130415344
7116665524550
oct22741356320
96504421101
102542132432
111094a707a4
125ab431554
13316891798
141a189b160
15ed29e657
hex9785dcd0

2542132432 has 40 divisors (see below), whose sum is σ = 5810596352. Its totient is φ = 1054339200.

The previous prime is 2542132427. The next prime is 2542132441. The reversal of 2542132432 is 2342312452.

2542132432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2542132432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362619 + ... + 369562.

Almost surely, 22542132432 is an apocalyptic number.

It is an amenable number.

2542132432 is an abundant number, since it is smaller than the sum of its proper divisors (3268463920).

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

2542132432 is a wasteful number, since it uses less digits than its factorization.

2542132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732227 (or 732221 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 2542132432 is about 50419.5639806613. The cubic root of 2542132432 is about 1364.7907083392.

Adding to 2542132432 its reverse (2342312452), we get a palindrome (4884444884).

The spelling of 2542132432 in words is "two billion, five hundred forty-two million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 732181 1464362 2928724 5125267 5857448 10250534 11714896 20501068 22697611 41002136 45395222 82004272 90790444 158883277 181580888 317766554 363161776 635533108 1271066216 2542132432