Search a number
-
+
48437036928 = 2732710095953
BaseRepresentation
bin101101000111000100…
…101000011110000000
311122000122211102100200
4231013010220132000
51243144340140203
634130205445200
73333213010050
oct550704503600
9148018742320
1048437036928
11195a6498835
129479570800
13474c003bc7
1424b6d1b560
1513d755e9a3
hexb47128780

48437036928 has 192 divisors, whose sum is σ = 159479080800. Its totient is φ = 13823115264.

The previous prime is 48437036899. The next prime is 48437036941. The reversal of 48437036928 is 82963073484.

48437036928 is a `hidden beast` number, since 484 + 3 + 70 + 3 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×484370369282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8133600 + ... + 8139552.

Almost surely, 248437036928 is an apocalyptic number.

48437036928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48437036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79739540400).

48437036928 is an abundant number, since it is smaller than the sum of its proper divisors (111042043872).

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

48437036928 is a wasteful number, since it uses less digits than its factorization.

48437036928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 48437036928 in words is "forty-eight billion, four hundred thirty-seven million, thirty-six thousand, nine hundred twenty-eight".