Search a number
-
+
48421562401 = 197211172
BaseRepresentation
bin101101000110001001…
…100110100000100001
311121222120201020022001
4231012021212200201
51243131404444101
634124454044001
73332634326602
oct550611464041
9147876636261
1048421562401
1119598789573
129474349601
134748a46594
1424b4c4dda9
1513d6004901
hexb46266821

48421562401 has 9 divisors (see below), whose sum is σ = 48712214649. Its totient is φ = 48132638064.

The previous prime is 48421562381. The next prime is 48421562473. The reversal of 48421562401 is 10426512484.

The square root of 48421562401 is 220049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 232532001 + 48189030400 = 15249^2 + 219520^2 .

It is not a de Polignac number, because 48421562401 - 25 = 48421562369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48421562201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43349095 + ... + 43350211.

Almost surely, 248421562401 is an apocalyptic number.

48421562401 is the 220049-th square number.

48421562401 is the 110025-th centered octagonal number.

It is an amenable number.

48421562401 is a deficient number, since it is larger than the sum of its proper divisors (290652248).

48421562401 is an frugal number, since it uses more digits than its factorization.

48421562401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 48421562401 in words is "forty-eight billion, four hundred twenty-one million, five hundred sixty-two thousand, four hundred one".

Divisors: 1 197 1117 38809 220049 1247689 43349653 245794733 48421562401