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48371328 = 2732199211
BaseRepresentation
bin1011100010000…
…1011010000000
310101000111222200
42320201122000
544340340303
64444433200
71125102165
oct270413200
9111014880
1048371328
1125339105
1214248800
13a037cb5
1465d206c
1543a73a3
hex2e21680

48371328 has 96 divisors (see below), whose sum is σ = 140556000. Its totient is φ = 15966720.

The previous prime is 48371317. The next prime is 48371363. The reversal of 48371328 is 82317384.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 48371292 and 48371301.

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, 229143 + ... + 229353.

It is an arithmetic number, because the mean of its divisors is an integer number (1464125).

Almost surely, 248371328 is an apocalyptic number.

48371328 is a gapful number since it is divisible by the number (48) 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 48371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278000).

48371328 is an abundant number, since it is smaller than the sum of its proper divisors (92184672).

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

48371328 is a wasteful number, since it uses less digits than its factorization.

48371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

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

The square root of 48371328 is about 6954.9498919834. The cubic root of 48371328 is about 364.3588619630.

The spelling of 48371328 in words is "forty-eight million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 211 288 384 398 422 576 597 633 796 844 1152 1194 1266 1592 1688 1791 1899 2388 2532 3184 3376 3582 3798 4776 5064 6368 6752 7164 7596 9552 10128 12736 13504 14328 15192 19104 20256 25472 27008 28656 30384 38208 40512 41989 57312 60768 76416 81024 83978 114624 121536 125967 167956 229248 243072 251934 335912 377901 503868 671824 755802 1007736 1343648 1511604 2015472 2687296 3023208 4030944 5374592 6046416 8061888 12092832 16123776 24185664 48371328