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1043042432 = 27371131949
BaseRepresentation
bin111110001010111…
…001000010000000
32200200200001020012
4332022321002000
54114004324212
6251300004052
734563500015
oct7612710200
92620601205
101043042432
11495852243
12251390628
1313812a793
149c75370c
1561884922
hex3e2b9080

1043042432 has 64 divisors (see below), whose sum is σ = 2154087000. Its totient is φ = 502677504.

The previous prime is 1043042423. The next prime is 1043042437. The reversal of 1043042432 is 2342403401.

It can be written as a sum of positive squares in 4 ways, for example, as 935381056 + 107661376 = 30584^2 + 10376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1043042398 and 1043042407.

It is not an unprimeable number, because it can be changed into a prime (1043042437) 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, 534194 + ... + 536142.

Almost surely, 21043042432 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 1043042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077043500).

1043042432 is an abundant number, since it is smaller than the sum of its proper divisors (1111044568).

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

1043042432 is a wasteful number, since it uses less digits than its factorization.

1043042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1043042432 is about 32296.1674506434. The cubic root of 1043042432 is about 1014.1464126770.

Adding to 1043042432 its reverse (2342403401), we get a palindrome (3385445833).

The spelling of 1043042432 in words is "one billion, forty-three million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 148 226 296 452 592 904 1184 1808 1949 2368 3616 3898 4181 4736 7232 7796 8362 14464 15592 16724 31184 33448 62368 66896 72113 124736 133792 144226 220237 249472 267584 288452 440474 535168 576904 880948 1153808 1761896 2307616 3523792 4615232 7047584 8148769 9230464 14095168 16297538 28190336 32595076 65190152 130380304 260760608 521521216 1043042432