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48133872 = 2433671663
BaseRepresentation
bin1011011110011…
…1011011110000
310100120110021000
42313213123300
544310240442
64435402000
71123062663
oct267473360
9110513230
1048133872
1125196766
1214153300
139c83ba7
14656d6da
15435bd4c
hex2de76f0

48133872 has 80 divisors (see below), whose sum is σ = 140308480. Its totient is φ = 15795648.

The previous prime is 48133867. The next prime is 48133879. The reversal of 48133872 is 27833184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48133879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28113 + ... + 29775.

It is an arithmetic number, because the mean of its divisors is an integer number (1753856).

Almost surely, 248133872 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 48133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70154240).

48133872 is an abundant number, since it is smaller than the sum of its proper divisors (92174608).

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

48133872 is a wasteful number, since it uses less digits than its factorization.

48133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 48133872 is about 6937.8578826609. The cubic root of 48133872 is about 363.7616682409.

The spelling of 48133872 in words is "forty-eight million, one hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1663 1809 2412 3216 3326 3618 4824 4989 6652 7236 9648 9978 13304 14472 14967 19956 26608 28944 29934 39912 44901 59868 79824 89802 111421 119736 179604 222842 239472 334263 359208 445684 668526 718416 891368 1002789 1337052 1782736 2005578 2674104 3008367 4011156 5348208 6016734 8022312 12033468 16044624 24066936 48133872