Search a number
-
+
48649320 = 23325337401
BaseRepresentation
bin1011100110010…
…1010001101000
310101112122022200
42321211101220
544423234240
64454420200
71130340516
oct271452150
9111478280
1048649320
1125508a55
1214361660
13a1046a5
1466654b6
15440e930
hex2e65468

48649320 has 96 divisors (see below), whose sum is σ = 158974920. Its totient is φ = 12902400.

The previous prime is 48649313. The next prime is 48649343. The reversal of 48649320 is 2394684.

It is a happy number.

48649320 is a `hidden beast` number, since 4 + 8 + 649 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45887076 + 2762244 = 6774^2 + 1662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121120 + ... + 121520.

Almost surely, 248649320 is an apocalyptic number.

48649320 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 48649320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79487460).

48649320 is an abundant number, since it is smaller than the sum of its proper divisors (110325600).

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

48649320 is a wasteful number, since it uses less digits than its factorization.

48649320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48649320 is about 6974.9064509856. The cubic root of 48649320 is about 365.0555241734.

The spelling of 48649320 in words is "forty-eight million, six hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 337 360 401 674 802 1011 1203 1348 1604 1685 2005 2022 2406 2696 3033 3208 3370 3609 4010 4044 4812 5055 6015 6066 6740 7218 8020 8088 9624 10110 12030 12132 13480 14436 15165 16040 18045 20220 24060 24264 28872 30330 36090 40440 48120 60660 72180 121320 135137 144360 270274 405411 540548 675685 810822 1081096 1216233 1351370 1621644 2027055 2432466 2702740 3243288 4054110 4864932 5405480 6081165 8108220 9729864 12162330 16216440 24324660 48649320