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48538350 = 23252719811
BaseRepresentation
bin1011100100101…
…0001011101110
310101100000002200
42321022023232
544411211400
64452202330
71126366140
oct271121356
9111300080
1048538350
1125442643
12143093a6
13a096023
146636c90
1543dbb00
hex2e4a2ee

48538350 has 144 divisors (see below), whose sum is σ = 157073280. Its totient is φ = 10497600.

The previous prime is 48538309. The next prime is 48538361. The reversal of 48538350 is 5383584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59445 + ... + 60255.

Almost surely, 248538350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48538350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78536640).

48538350 is an abundant number, since it is smaller than the sum of its proper divisors (108534930).

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

48538350 is a wasteful number, since it uses less digits than its factorization.

48538350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 48538350 is about 6966.9469640582. The cubic root of 48538350 is about 364.7777467237. Note that the first 4 decimals are identical.

It can be divided in two parts, 4853 and 8350, that added together give a triangular number (13203 = T162).

The spelling of 48538350 in words is "forty-eight million, five hundred thirty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 811 855 950 1050 1197 1330 1425 1575 1622 1710 1995 2394 2433 2850 3150 3325 3990 4055 4275 4866 5677 5985 6650 7299 8110 8550 9975 11354 11970 12165 14598 15409 17031 19950 20275 24330 28385 29925 30818 34062 36495 40550 46227 51093 56770 59850 60825 72990 77045 85155 92454 102186 107863 121650 138681 141925 154090 170310 182475 215726 231135 255465 277362 283850 323589 364950 385225 425775 462270 510930 539315 647178 693405 770450 851550 970767 1078630 1155675 1277325 1386810 1617945 1941534 2311350 2554650 2696575 3235890 3467025 4853835 5393150 6934050 8089725 9707670 16179450 24269175 48538350