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48493536 = 2537213261
BaseRepresentation
bin1011100011111…
…1001111100000
310101020201121220
42320333033200
544403243121
64451215040
71126121400
oct270771740
9111221556
1048493536
1125411a03
12142a7480
13a07b800
146624800
1543cd6c6
hex2e3f3e0

48493536 has 216 divisors, whose sum is σ = 162973944. Its totient is φ = 12579840.

The previous prime is 48493513. The next prime is 48493541. The reversal of 48493536 is 63539484.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794946 + ... + 795006.

It is an arithmetic number, because the mean of its divisors is an integer number (754509).

Almost surely, 248493536 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 48493536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81486972).

48493536 is an abundant number, since it is smaller than the sum of its proper divisors (114480408).

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

48493536 is a wasteful number, since it uses less digits than its factorization.

48493536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 48493536 is about 6963.7300349741. The cubic root of 48493536 is about 364.6654493790.

It can be divided in two parts, 4849 and 3536, that added together give a triangular number (8385 = T129).

The spelling of 48493536 in words is "forty-eight million, four hundred ninety-three thousand, five hundred thirty-six".