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48145224 = 23317197599
BaseRepresentation
bin1011011110101…
…0001101001000
310100121000211110
42313222031020
544311121344
64435530320
71123141041
oct267521510
9110530743
1048145224
11251a4246
12141599a0
139c890ca
1465738c8
1543603b9
hex2dea348

48145224 has 64 divisors (see below), whose sum is σ = 128304000. Its totient is φ = 15002624.

The previous prime is 48145219. The next prime is 48145247. The reversal of 48145224 is 42254184.

48145224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48145191 and 48145200.

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 15 ways as a sum of consecutive naturals, for example, 80077 + ... + 80675.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 248145224 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 48145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152000).

48145224 is an abundant number, since it is smaller than the sum of its proper divisors (80158776).

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

48145224 is a wasteful number, since it uses less digits than its factorization.

48145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 48145224 is about 6938.6759543878. The cubic root of 48145224 is about 363.7902627814.

The spelling of 48145224 in words is "forty-eight million, one hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 197 204 394 408 591 599 788 1182 1198 1576 1797 2364 2396 3349 3594 4728 4792 6698 7188 10047 10183 13396 14376 20094 20366 26792 30549 40188 40732 61098 80376 81464 118003 122196 236006 244392 354009 472012 708018 944024 1416036 2006051 2832072 4012102 6018153 8024204 12036306 16048408 24072612 48145224