Search a number
-
+
48664576 = 2121092
BaseRepresentation
bin1011100110100…
…1000000000000
310101120102020201
42321221000000
544424231301
64455014544
71130433142
oct271510000
9111512221
1048664576
1125519464
121436a454
13a10b60c
14666ac92
154414201
hex2e69000

48664576 has 39 divisors (see below), whose sum is σ = 98218281. Its totient is φ = 24109056.

The previous prime is 48664571. The next prime is 48664597. The reversal of 48664576 is 67546684.

The square root of 48664576 is 6976.

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

It can be written as a sum of positive squares in only one way, i.e., 33918976 + 14745600 = 5824^2 + 3840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48664571) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 446410 + ... + 446518.

Almost surely, 248664576 is an apocalyptic number.

48664576 is the 6976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48664576

48664576 is an abundant number, since it is smaller than the sum of its proper divisors (49553705).

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

48664576 is an frugal number, since it uses more digits than its factorization.

48664576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 111 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The cubic root of 48664576 is about 365.0936795887.

The spelling of 48664576 in words is "forty-eight million, six hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1024 1744 2048 3488 4096 6976 11881 13952 23762 27904 47524 55808 95048 111616 190096 223232 380192 446464 760384 1520768 3041536 6083072 12166144 24332288 48664576