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48124164 = 223111931889
BaseRepresentation
bin1011011110010…
…1000100000100
310100112221221110
42313211010010
544304433124
64435245020
71123022454
oct267450404
9110487843
1048124164
112518a440
1214149770
139c7c64a
146569d64
154359029
hex2de5104

48124164 has 48 divisors (see below), whose sum is σ = 123197760. Its totient is φ = 14499840.

The previous prime is 48124151. The next prime is 48124189. The reversal of 48124164 is 46142184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24532 + ... + 26420.

It is an arithmetic number, because the mean of its divisors is an integer number (2566620).

Almost surely, 248124164 is an apocalyptic number.

48124164 is a gapful number since it is divisible by the number (44) 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 48124164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61598880).

48124164 is an abundant number, since it is smaller than the sum of its proper divisors (75073596).

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

48124164 is a wasteful number, since it uses less digits than its factorization.

48124164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2098 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48124164 is about 6937.1582077966. The cubic root of 48124164 is about 363.7372112035.

The spelling of 48124164 in words is "forty-eight million, one hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 1889 2123 2316 3778 4246 5667 6369 7556 8492 11334 12738 20779 22668 25476 41558 62337 83116 124674 249348 364577 729154 1093731 1458308 2187462 4010347 4374924 8020694 12031041 16041388 24062082 48124164