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48414888 = 23331947251
BaseRepresentation
bin1011100010110…
…0000010101000
310101002201202000
42320230002220
544343234023
64445411000
71125343164
oct270540250
9111081660
1048414888
1125368905
1214269a60
13a051a82
146603ca4
1543b5243
hex2e2c0a8

48414888 has 128 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 14904000.

The previous prime is 48414887. The next prime is 48414893. The reversal of 48414888 is 88841484.

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

It is not an unprimeable number, because it can be changed into a prime (48414887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192763 + ... + 193013.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 248414888 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 48414888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

48414888 is an abundant number, since it is smaller than the sum of its proper divisors (96737112).

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

48414888 is a wasteful number, since it uses less digits than its factorization.

48414888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 48414888 is about 6958.0807698675. The cubic root of 48414888 is about 364.4682015987.

The spelling of 48414888 in words is "forty-eight million, four hundred fourteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 94 108 114 141 152 171 188 216 228 251 282 342 376 423 456 502 513 564 684 753 846 893 1004 1026 1128 1269 1368 1506 1692 1786 2008 2052 2259 2538 2679 3012 3384 3572 4104 4518 4769 5076 5358 6024 6777 7144 8037 9036 9538 10152 10716 11797 13554 14307 16074 18072 19076 21432 23594 24111 27108 28614 32148 35391 38152 42921 47188 48222 54216 57228 64296 70782 85842 94376 96444 106173 114456 128763 141564 171684 192888 212346 224143 257526 283128 318519 343368 424692 448286 515052 637038 672429 849384 896572 1030104 1274076 1344858 1793144 2017287 2548152 2689716 4034574 5379432 6051861 8069148 12103722 16138296 24207444 48414888