Search a number
-
+
48083220 = 2234567443
BaseRepresentation
bin1011011101101…
…1000100010100
310100110212210000
42313123010110
544302130340
64434331300
71122462213
oct267330424
9110425700
1048083220
11251616a9
1214129b30
139c66b13
14655907a
15434bd30
hex2ddb114

48083220 has 120 divisors (see below), whose sum is σ = 153435744. Its totient is φ = 12602304.

The previous prime is 48083219. The next prime is 48083221. The reversal of 48083220 is 2238084.

48083220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48083219) and next prime (48083221).

It is a super-3 number, since 3×480832203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48083221) 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 39 ways as a sum of consecutive naturals, for example, 108319 + ... + 108761.

Almost surely, 248083220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48083220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76717872).

48083220 is an abundant number, since it is smaller than the sum of its proper divisors (105352524).

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

48083220 is a wasteful number, since it uses less digits than its factorization.

48083220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48083220 is about 6934.2065155287. The cubic root of 48083220 is about 363.6340261592.

The spelling of 48083220 in words is "forty-eight million, eighty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 268 270 324 335 402 405 443 540 603 670 804 810 886 1005 1206 1329 1340 1620 1772 1809 2010 2215 2412 2658 3015 3618 3987 4020 4430 5316 5427 6030 6645 7236 7974 8860 9045 10854 11961 12060 13290 15948 18090 19935 21708 23922 26580 27135 29681 35883 36180 39870 47844 54270 59362 59805 71766 79740 89043 108540 118724 119610 143532 148405 178086 179415 239220 267129 296810 356172 358830 445215 534258 593620 717660 801387 890430 1068516 1335645 1602774 1780860 2404161 2671290 3205548 4006935 4808322 5342580 8013870 9616644 12020805 16027740 24041610 48083220