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48390372 = 2234233641
BaseRepresentation
bin1011100010011…
…0000011100100
310101001111010000
42320212003210
544341442442
64445101300
71125211542
oct270460344
9111044100
1048390372
1125351448
1214257830
13a043874
1465d8d92
1543acd4c
hex2e260e4

48390372 has 60 divisors (see below), whose sum is σ = 127243116. Its totient is φ = 16035840.

The previous prime is 48390361. The next prime is 48390379. The reversal of 48390372 is 27309384.

It can be written as a sum of positive squares in 2 ways, for example, as 27815076 + 20575296 = 5274^2 + 4536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48390379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75172 + ... + 75812.

Almost surely, 248390372 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 48390372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63621558).

48390372 is an abundant number, since it is smaller than the sum of its proper divisors (78852744).

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

48390372 is a wasteful number, since it uses less digits than its factorization.

48390372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 48390372 is about 6956.3188541067. The cubic root of 48390372 is about 364.4066722398.

The spelling of 48390372 in words is "forty-eight million, three hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 324 466 641 699 932 1282 1398 1923 2097 2564 2796 3846 4194 5769 6291 7692 8388 11538 12582 17307 18873 23076 25164 34614 37746 51921 69228 75492 103842 149353 207684 298706 448059 597412 896118 1344177 1792236 2688354 4032531 5376708 8065062 12097593 16130124 24195186 48390372