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48219136 = 21072312
BaseRepresentation
bin1011011111110…
…0010000000000
310100201210012221
42313330100000
544321003021
64441300424
71123566400
oct267742000
9110653187
1048219136
1125244829
1214194714
139cb3944
146592800
154377241
hex2dfc400

48219136 has 99 divisors (see below), whose sum is σ = 115862247. Its totient is φ = 19998720.

The previous prime is 48219121. The next prime is 48219137. The reversal of 48219136 is 63191284.

The square root of 48219136 is 6944.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (10368) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (48219137) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1555441 + ... + 1555471.

Almost surely, 248219136 is an apocalyptic number.

48219136 is the 6944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48219136

48219136 is an abundant number, since it is smaller than the sum of its proper divisors (67643111).

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

48219136 is an equidigital number, since it uses as much as digits as its factorization.

48219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The cubic root of 48219136 is about 363.9763298218.

The spelling of 48219136 in words is "forty-eight million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 896 961 992 1024 1519 1568 1736 1792 1922 1984 3038 3136 3472 3584 3844 3968 6076 6272 6727 6944 7168 7688 7936 12152 12544 13454 13888 15376 15872 24304 25088 26908 27776 30752 31744 47089 48608 50176 53816 55552 61504 94178 97216 107632 111104 123008 188356 194432 215264 222208 246016 376712 388864 430528 492032 753424 777728 861056 984064 1506848 1555456 1722112 3013696 3444224 6027392 6888448 12054784 24109568 48219136