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48291840 = 213325131
BaseRepresentation
bin1011100000111…
…0000000000000
310100212110221200
42320032000000
544330314330
64443021200
71124321352
oct270160000
9110773850
1048291840
1125294413
121420a800
13a00aa6c
1465b10d2
15438da60
hex2e0e000

48291840 has 168 divisors, whose sum is σ = 168679368. Its totient is φ = 12779520.

The previous prime is 48291839. The next prime is 48291899. The reversal of 48291840 is 4819284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48291795 and 48291804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368575 + ... + 368705.

Almost surely, 248291840 is an apocalyptic number.

48291840 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 48291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84339684).

48291840 is an abundant number, since it is smaller than the sum of its proper divisors (120387528).

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

48291840 is a wasteful number, since it uses less digits than its factorization.

48291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48291840 is about 6949.2330512079. The cubic root of 48291840 is about 364.1591704150.

The spelling of 48291840 in words is "forty-eight million, two hundred ninety-one thousand, eight hundred forty".