Search a number
-
+
49947480 = 233251112613
BaseRepresentation
bin1011111010001…
…0001101011000
310110222121001200
42332202031120
5100241304410
64542314200
71144355322
oct276421530
9113877050
1049947480
1126215310
1214888960
13a46a52b
1468c2612
1545b93c0
hex2fa2358

49947480 has 96 divisors (see below), whose sum is σ = 177100560. Its totient is φ = 12107520.

The previous prime is 49947463. The next prime is 49947503. The reversal of 49947480 is 8474994.

49947480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347 + ... + 10266.

Almost surely, 249947480 is an apocalyptic number.

49947480 is a gapful number since it is divisible by the number (40) 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 49947480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88550280).

49947480 is an abundant number, since it is smaller than the sum of its proper divisors (127153080).

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

49947480 is a wasteful number, since it uses less digits than its factorization.

49947480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12634 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 49947480 is about 7067.3531113140. The cubic root of 49947480 is about 368.2741144510.

The spelling of 49947480 in words is "forty-nine million, nine hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 12613 25226 37839 50452 63065 75678 100904 113517 126130 138743 151356 189195 227034 252260 277486 302712 378390 416229 454068 504520 554972 567585 693715 756780 832458 908136 1109944 1135170 1248687 1387430 1513560 1664916 2081145 2270340 2497374 2774860 3329832 4162290 4540680 4994748 5549720 6243435 8324580 9989496 12486870 16649160 24973740 49947480