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48228192 = 25321511109
BaseRepresentation
bin1011011111111…
…0011101100000
310100202020122100
42313332131200
544321300232
64441410400
71123634655
oct267763540
9110666570
1048228192
1125250611
1214199a00
139cb7abc
146595c2c
154379c7c
hex2dfe760

48228192 has 72 divisors (see below), whose sum is σ = 138181680. Its totient is φ = 15955200.

The previous prime is 48228181. The next prime is 48228209. The reversal of 48228192 is 29182284.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42934 + ... + 44042.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 248228192 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 48228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

48228192 is an abundant number, since it is smaller than the sum of its proper divisors (89953488).

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

48228192 is a wasteful number, since it uses less digits than its factorization.

48228192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

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

The square root of 48228192 is about 6944.6520431192. The cubic root of 48228192 is about 363.9991144365. Note that the first 3 decimals are identical.

The spelling of 48228192 in words is "forty-eight million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1109 1208 1359 1812 2218 2416 2718 3327 3624 4436 4832 5436 6654 7248 8872 9981 10872 13308 14496 17744 19962 21744 26616 35488 39924 43488 53232 79848 106464 159696 167459 319392 334918 502377 669836 1004754 1339672 1507131 2009508 2679344 3014262 4019016 5358688 6028524 8038032 12057048 16076064 24114096 48228192