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48649248 = 25341372
BaseRepresentation
bin1011100110010…
…1010000100000
310101112122020000
42321211100200
544423233443
64454420000
71130340354
oct271452040
9111478200
1048649248
112550899a
1214361600
13a10464b
146665464
15440e8d3
hex2e65420

48649248 has 90 divisors (see below), whose sum is σ = 144128061. Its totient is φ = 16098048.

The previous prime is 48649241. The next prime is 48649259. The reversal of 48649248 is 84294684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 374544 = 6948^2 + 612^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4932.

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 (48649241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 355036 + ... + 355172.

Almost surely, 248649248 is an apocalyptic number.

48649248 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 48649248

48649248 is an abundant number, since it is smaller than the sum of its proper divisors (95478813).

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

48649248 is an equidigital number, since it uses as much as digits as its factorization.

48649248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 142 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48649248 is about 6974.9012896241. The cubic root of 48649248 is about 365.0553440818.

The spelling of 48649248 in words is "forty-eight million, six hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 324 411 432 548 648 822 864 1096 1233 1296 1644 2192 2466 2592 3288 3699 4384 4932 6576 7398 9864 11097 13152 14796 18769 19728 22194 29592 37538 39456 44388 56307 59184 75076 88776 112614 118368 150152 168921 177552 225228 300304 337842 355104 450456 506763 600608 675684 900912 1013526 1351368 1520289 1801824 2027052 2702736 3040578 4054104 5405472 6081156 8108208 12162312 16216416 24324624 48649248