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48503840 = 25571131127
BaseRepresentation
bin1011100100000…
…1110000100000
310101021020202112
42321001300200
544404110330
64451334452
71126163420
oct271016040
9111236675
1048503840
1125419720
12142b1428
13a0833c8
146628480
1543d1795
hex2e41c20

48503840 has 192 divisors, whose sum is σ = 148635648. Its totient is φ = 14515200.

The previous prime is 48503773. The next prime is 48503869. The reversal of 48503840 is 4830584.

It is a super-3 number, since 3×485038403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48503797 and 48503806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381857 + ... + 381983.

It is an arithmetic number, because the mean of its divisors is an integer number (774144).

Almost surely, 248503840 is an apocalyptic number.

48503840 is a gapful number since it is divisible by the number (40) 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 48503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74317824).

48503840 is an abundant number, since it is smaller than the sum of its proper divisors (100131808).

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

48503840 is a wasteful number, since it uses less digits than its factorization.

48503840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 48503840 is about 6964.4698290681. The cubic root of 48503840 is about 364.6912758224.

The spelling of 48503840 in words is "forty-eight million, five hundred three thousand, eight hundred forty".