Search a number
-
+
48472736 = 25131091069
BaseRepresentation
bin1011100011101…
…0001010100000
310101012200002112
42320322022200
544402111421
64450534452
71126003634
oct270721240
9111180075
1048472736
11253a8314
1214297428
13a0721c0
14661adc4
1543c745b
hex2e3a2a0

48472736 has 48 divisors (see below), whose sum is σ = 103811400. Its totient is φ = 22146048.

The previous prime is 48472703. The next prime is 48472757. The reversal of 48472736 is 63727484.

It can be written as a sum of positive squares in 4 ways, for example, as 37210000 + 11262736 = 6100^2 + 3356^2 .

It is a super-2 number, since 2×484727362 = 4699212270651392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48472693 and 48472702.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44810 + ... + 45878.

Almost surely, 248472736 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 48472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51905700).

48472736 is an abundant number, since it is smaller than the sum of its proper divisors (55338664).

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

48472736 is a wasteful number, since it uses less digits than its factorization.

48472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 48472736 is about 6962.2364222999. The cubic root of 48472736 is about 364.6133041056.

The spelling of 48472736 in words is "forty-eight million, four hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 208 218 416 436 872 1069 1417 1744 2138 2834 3488 4276 5668 8552 11336 13897 17104 22672 27794 34208 45344 55588 111176 116521 222352 233042 444704 466084 932168 1514773 1864336 3029546 3728672 6059092 12118184 24236368 48472736