Search a number
-
+
48699280 = 24571923199
BaseRepresentation
bin1011100111000…
…1011110010000
310101122011212001
42321301132100
544431334110
64455443344
71130636260
oct271613620
9111564761
1048699280
1125542543
1214386554
13a121356
1466797a0
15441e63a
hex2e71790

48699280 has 160 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 15054336.

The previous prime is 48699269. The next prime is 48699283. The reversal of 48699280 is 8299684.

48699280 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 (46).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 48699280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48699283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244621 + ... + 244819.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 248699280 is an apocalyptic number.

48699280 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 48699280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

48699280 is an abundant number, since it is smaller than the sum of its proper divisors (94148720).

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

48699280 is a wasteful number, since it uses less digits than its factorization.

48699280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 48699280 is about 6978.4869420240. The cubic root of 48699280 is about 365.1804449628.

The spelling of 48699280 in words is "forty-eight million, six hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 199 230 266 280 304 322 368 380 398 437 460 532 560 644 665 760 796 805 874 920 995 1064 1288 1330 1393 1520 1592 1610 1748 1840 1990 2128 2185 2576 2660 2786 3059 3184 3220 3496 3781 3980 4370 4577 5320 5572 6118 6440 6965 6992 7562 7960 8740 9154 10640 11144 12236 12880 13930 15124 15295 15920 17480 18308 18905 22288 22885 24472 26467 27860 30248 30590 32039 34960 36616 37810 45770 48944 52934 55720 60496 61180 64078 73232 75620 86963 91540 105868 111440 122360 128156 132335 151240 160195 173926 183080 211736 244720 256312 264670 302480 320390 347852 366160 423472 434815 512624 529340 608741 640780 695704 869630 1058680 1217482 1281560 1391408 1739260 2117360 2434964 2563120 3043705 3478520 4869928 6087410 6957040 9739856 12174820 24349640 48699280