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48348180 = 223251132377
BaseRepresentation
bin1011100001101…
…1110000010100
310100222100020100
42320123300110
544334120210
64444134100
71124644536
oct270336024
9110870210
1048348180
1125322781
1214237330
13a02a5ba
1465c7856
1543a05c0
hex2e1bc14

48348180 has 72 divisors (see below), whose sum is σ = 148016232. Its totient is φ = 12773376.

The previous prime is 48348163. The next prime is 48348193. The reversal of 48348180 is 8184384.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 48191364 = 396^2 + 6942^2 .

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

It is a congruent number.

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, 19152 + ... + 21528.

It is an arithmetic number, because the mean of its divisors is an integer number (2055781).

Almost surely, 248348180 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 48348180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74008116).

48348180 is an abundant number, since it is smaller than the sum of its proper divisors (99668052).

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

48348180 is a wasteful number, since it uses less digits than its factorization.

48348180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48348180 is about 6953.2855543261. The cubic root of 48348180 is about 364.3007316268.

The spelling of 48348180 in words is "forty-eight million, three hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 2377 3390 4068 4754 5085 6780 7131 9508 10170 11885 14262 20340 21393 23770 28524 35655 42786 47540 71310 85572 106965 142620 213930 268601 427860 537202 805803 1074404 1343005 1611606 2417409 2686010 3223212 4029015 4834818 5372020 8058030 9669636 12087045 16116060 24174090 48348180