Search a number
-
+
48834560 = 211519251
BaseRepresentation
bin1011101001001…
…0100000000000
310101220001102102
42322102200000
5100000201220
64502405532
71132041545
oct272224000
9111801372
1048834560
1125625145
12144308a8
13a16aab8
1466b2bcc
154449775
hex2e92800

48834560 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 18432000.

The previous prime is 48834509. The next prime is 48834593. The reversal of 48834560 is 6543884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194435 + ... + 194685.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 248834560 is an apocalyptic number.

48834560 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 48834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

48834560 is an abundant number, since it is smaller than the sum of its proper divisors (74998240).

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

48834560 is a wasteful number, since it uses less digits than its factorization.

48834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 48834560 is about 6988.1728656352. The cubic root of 48834560 is about 365.5182729375.

It can be divided in two parts, 48834 and 560, that added together give a palindrome (49394).

The spelling of 48834560 in words is "forty-eight million, eight hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 251 256 304 320 380 502 512 608 640 760 1004 1024 1216 1255 1280 1520 2008 2048 2432 2510 2560 3040 4016 4769 4864 5020 5120 6080 8032 9538 9728 10040 10240 12160 16064 19076 19456 20080 23845 24320 32128 38152 38912 40160 47690 48640 64256 76304 80320 95380 97280 128512 152608 160640 190760 194560 257024 305216 321280 381520 514048 610432 642560 763040 1220864 1285120 1526080 2441728 2570240 3052160 4883456 6104320 9766912 12208640 24417280 48834560