Search a number
-
+
48154352481 = 3219323792
BaseRepresentation
bin101100110110001110…
…010001101101100001
311121021221220120012100
4230312032101231201
51242110003234411
634042150521013
73323211146124
oct546616215541
9147257816170
1048154352481
1119470970824
1293ba966169
1347055896c1
14248b5743bb
1513bc821456
hexb36391b61

48154352481 has 27 divisors (see below), whose sum is σ = 70103517939. Its totient is φ = 31852300032.

The previous prime is 48154352459. The next prime is 48154352489. The reversal of 48154352481 is 18425345184.

The square root of 48154352481 is 219441.

It is a perfect power (a square), and thus also a powerful number.

48154352481 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 43 + 524 + 81 = 666.

48154352481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11667240225 + 36487112256 = 108015^2 + 191016^2 .

It is not a de Polignac number, because 48154352481 - 29 = 48154351969 is a prime.

It is a super-2 number, since 2×481543524812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48154352489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127056150 + ... + 127056528.

Almost surely, 248154352481 is an apocalyptic number.

48154352481 is the 219441-st square number.

48154352481 is the 109721-st centered octagonal number.

It is an amenable number.

48154352481 is a deficient number, since it is larger than the sum of its proper divisors (21949165458).

48154352481 is an frugal number, since it uses more digits than its factorization.

48154352481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 48154352481 in words is "forty-eight billion, one hundred fifty-four million, three hundred fifty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 193 379 579 1137 1737 3411 37249 73147 111747 143641 219441 335241 430923 658323 1292769 14117371 27722713 42352113 83168139 127056339 249504417 5350483609 16051450827 48154352481