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2054439936 = 21034173147
BaseRepresentation
bin111101001110100…
…0100010000000000
312022011210100210000
41322131010100000
513201414034221
6535505440000
7101624310543
oct17235042000
95264710700
102054439936
1196475014a
12494040000
13269828643
14156bca85a
15c0567e26
hex7a744400

2054439936 has 440 divisors, whose sum is σ = 6848050176. Its totient is φ = 610467840.

The previous prime is 2054439929. The next prime is 2054439973. The reversal of 2054439936 is 6399344502.

2054439936 is a `hidden beast` number, since 205 + 4 + 439 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2054439891 and 2054439900.

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 39 ways as a sum of consecutive naturals, for example, 43711465 + ... + 43711511.

Almost surely, 22054439936 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 2054439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424025088).

2054439936 is an abundant number, since it is smaller than the sum of its proper divisors (4793610240).

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

2054439936 is a wasteful number, since it uses less digits than its factorization.

2054439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2054439936 is about 45325.9300621620. The cubic root of 2054439936 is about 1271.2505374994.

The spelling of 2054439936 in words is "two billion, fifty-four million, four hundred thirty-nine thousand, nine hundred thirty-six".