Search a number
-
+
48020280 = 23357115197
BaseRepresentation
bin1011011100101…
…1101100111000
310100100200102220
42313023230320
544243122110
64433124040
71122110550
oct267135470
9110320386
1048020280
1125119390
12140b9620
139c44289
146540160
154338370
hex2dcbb38

48020280 has 128 divisors (see below), whose sum is σ = 179642880. Its totient is φ = 9976320.

The previous prime is 48020263. The next prime is 48020299. The reversal of 48020280 is 8202084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48020280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6642 + ... + 11838.

It is an arithmetic number, because the mean of its divisors is an integer number (1403460).

Almost surely, 248020280 is an apocalyptic number.

48020280 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 48020280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89821440).

48020280 is an abundant number, since it is smaller than the sum of its proper divisors (131622600).

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

48020280 is a wasteful number, since it uses less digits than its factorization.

48020280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48020280 is about 6929.6666586496. Note that the first 4 decimals coincide. The cubic root of 48020280 is about 363.4752935900.

It can be divided in two parts, 480 and 20280, that multiplied together give a square (9734400 = 31202).

The spelling of 48020280 in words is "forty-eight million, twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 5197 9240 10394 15591 20788 25985 31182 36379 41576 51970 57167 62364 72758 77955 103940 109137 114334 124728 145516 155910 171501 181895 207880 218274 228668 285835 291032 311820 343002 363790 400169 436548 457336 545685 571670 623640 686004 727580 800338 857505 873096 1091370 1143340 1200507 1372008 1455160 1600676 1715010 2000845 2182740 2286680 2401014 3201352 3430020 4001690 4365480 4802028 6002535 6860040 8003380 9604056 12005070 16006760 24010140 48020280