Search a number
-
+
48477240 = 23325719237
BaseRepresentation
bin1011100011101…
…1010000111000
310101012220021100
42320323100320
544402232430
64451011400
71126023030
oct270732070
9111186240
1048477240
1125400739
1214299b60
13a074276
14661c8c0
1543c8960
hex2e3b438

48477240 has 96 divisors (see below), whose sum is σ = 180067680. Its totient is φ = 11079936.

The previous prime is 48477203. The next prime is 48477263. The reversal of 48477240 is 4277484.

48477240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48477195 and 48477204.

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, 7099 + ... + 12138.

It is an arithmetic number, because the mean of its divisors is an integer number (1875705).

Almost surely, 248477240 is an apocalyptic number.

48477240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48477240 is an abundant number, since it is smaller than the sum of its proper divisors (131590440).

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

48477240 is a wasteful number, since it uses less digits than its factorization.

48477240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19261 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 48477240 is about 6962.5598740693. The cubic root of 48477240 is about 364.6245968280.

The spelling of 48477240 in words is "forty-eight million, four hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 19237 38474 57711 76948 96185 115422 134659 153896 173133 192370 230844 269318 288555 346266 384740 403977 461688 538636 577110 673295 692532 769480 807954 865665 1077272 1154220 1211931 1346590 1385064 1615908 1731330 2019885 2308440 2423862 2693180 3231816 3462660 4039770 4847724 5386360 6059655 6925320 8079540 9695448 12119310 16159080 24238620 48477240