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48091248 = 2432337991
BaseRepresentation
bin1011011101110…
…1000001110000
310100111021210100
42313131001300
544302404443
64434432400
71122524502
oct267350160
9110437710
1048091248
1125167737
1214132700
139c6a67a
14655bd72
15434e3d3
hex2ddd070

48091248 has 60 divisors (see below), whose sum is σ = 135124288. Its totient is φ = 15966720.

The previous prime is 48091207. The next prime is 48091259. The reversal of 48091248 is 84219084.

48091248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480912483 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48033 + ... + 49023.

Almost surely, 248091248 is an apocalyptic number.

48091248 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 48091248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67562144).

48091248 is an abundant number, since it is smaller than the sum of its proper divisors (87033040).

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

48091248 is a wasteful number, since it uses less digits than its factorization.

48091248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

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

The square root of 48091248 is about 6934.7853607736. The cubic root of 48091248 is about 363.6542625432.

The spelling of 48091248 in words is "forty-eight million, ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 991 1011 1348 1982 2022 2696 2973 3033 3964 4044 5392 5946 6066 7928 8088 8919 11892 12132 15856 16176 17838 23784 24264 35676 47568 48528 71352 142704 333967 667934 1001901 1335868 2003802 2671736 3005703 4007604 5343472 6011406 8015208 12022812 16030416 24045624 48091248