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2142432032 = 25137370549
BaseRepresentation
bin111111110110010…
…1110101100100000
312112022100211020112
41333230232230200
513341430311112
6552331430452
7104043241346
oct17754565440
95468324215
102142432032
119aa38a994
124b95b5428
13281b26680
14164773996
15c8149a22
hex7fb2eb20

2142432032 has 48 divisors (see below), whose sum is σ = 4604657400. Its totient is φ = 975255552.

The previous prime is 2142432031. The next prime is 2142432073. The reversal of 2142432032 is 2302342412.

It can be written as a sum of positive squares in 4 ways, for example, as 2031845776 + 110586256 = 45076^2 + 10516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2142431989 and 2142432007.

It is not an unprimeable number, because it can be changed into a prime (2142432031) 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, 4907 + ... + 65642.

Almost surely, 22142432032 is an apocalyptic number.

It is an amenable number.

2142432032 is an abundant number, since it is smaller than the sum of its proper divisors (2462225368).

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

2142432032 is a wasteful number, since it uses less digits than its factorization.

2142432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70645 (or 70637 counting only the distinct ones).

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

The square root of 2142432032 is about 46286.4130388173. The cubic root of 2142432032 is about 1289.1467289595.

Adding to 2142432032 its reverse (2302342412), we get a palindrome (4444774444).

The spelling of 2142432032 in words is "two billion, one hundred forty-two million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 7592 15184 30368 70549 141098 282196 564392 917137 1128784 1834274 2257568 3668548 5150077 7337096 10300154 14674192 20600308 29348384 41200616 66951001 82401232 133902002 164802464 267804004 535608008 1071216016 2142432032