Search a number
-
+
48272364 = 22327223859
BaseRepresentation
bin1011100000100…
…1001111101100
310100211111020100
42320021033230
544324203424
64442351100
71124210520
oct270111754
9110744210
1048272364
1125280818
12141bb490
13a001c3a
1465a7d80
154387dc9
hex2e093ec

48272364 has 72 divisors (see below), whose sum is σ = 140241920. Its totient is φ = 13714272.

The previous prime is 48272353. The next prime is 48272387. The reversal of 48272364 is 46327284.

48272364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×482723642 = 4660442252296992, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55767 + ... + 56625.

Almost surely, 248272364 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 48272364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120960).

48272364 is an abundant number, since it is smaller than the sum of its proper divisors (91969556).

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

48272364 is a wasteful number, since it uses less digits than its factorization.

48272364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1094 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 48272364 is about 6947.8316041769. The cubic root of 48272364 is about 364.1102089502.

The spelling of 48272364 in words is "forty-eight million, two hundred seventy-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 669 859 892 1338 1561 1718 2007 2577 2676 3122 3436 4014 4683 5154 6013 6244 7731 8028 9366 10308 12026 14049 15462 18039 18732 24052 28098 30924 36078 54117 56196 72156 108234 191557 216468 383114 574671 766228 1149342 1340899 1724013 2298684 2681798 3448026 4022697 5363596 6896052 8045394 12068091 16090788 24136182 48272364