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2054234032 = 241719139541
BaseRepresentation
bin111101001110001…
…0001111110110000
312022011101220022221
41322130101332300
513201340442112
6535501210424
7101622462334
oct17234217660
95264356287
102054234032
1196461a484
12493b60a14
132697859c6
14156b757c4
15c0526e07
hex7a711fb0

2054234032 has 40 divisors (see below), whose sum is σ = 4236371712. Its totient is φ = 961612800.

The previous prime is 2054233999. The next prime is 2054234041. The reversal of 2054234032 is 2304324502.

It is a junction number, because it is equal to n+sod(n) for n = 2054233988 and 2054234006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32182 + ... + 71722.

Almost surely, 22054234032 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 2054234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118185856).

2054234032 is an abundant number, since it is smaller than the sum of its proper divisors (2182137680).

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

2054234032 is a wasteful number, since it uses less digits than its factorization.

2054234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39757 (or 39751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2054234032 is about 45323.6586343159. The cubic root of 2054234032 is about 1271.2080661814.

Adding to 2054234032 its reverse (2304324502), we get a palindrome (4358558534).

The spelling of 2054234032 in words is "two billion, fifty-four million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 191 272 382 764 1528 3056 3247 6494 12988 25976 39541 51952 79082 158164 316328 632656 672197 1344394 2688788 5377576 7552331 10755152 15104662 30209324 60418648 120837296 128389627 256779254 513558508 1027117016 2054234032