Search a number
-
+
48514608 = 24321991693
BaseRepresentation
bin1011100100010…
…0011000110000
310101021210112100
42321010120300
544404431413
64451500400
71126240002
oct271043060
9111253470
1048514608
112542681a
12142b7700
13a08828c
14662c372
1543d4a73
hex2e44630

48514608 has 60 divisors (see below), whose sum is σ = 136536400. Its totient is φ = 16080768.

The previous prime is 48514601. The next prime is 48514637. The reversal of 48514608 is 80641584.

48514608 is a `hidden beast` number, since 48 + 5 + 1 + 4 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48514601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27810 + ... + 29502.

Almost surely, 248514608 is an apocalyptic number.

48514608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68268200).

48514608 is an abundant number, since it is smaller than the sum of its proper divisors (88021792).

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

48514608 is a wasteful number, since it uses less digits than its factorization.

48514608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48514608 is about 6965.2428529090. The cubic root of 48514608 is about 364.7182613496.

The spelling of 48514608 in words is "forty-eight million, five hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1693 1791 2388 3184 3386 3582 4776 5079 6772 7164 9552 10158 13544 14328 15237 20316 27088 28656 30474 40632 60948 81264 121896 243792 336907 673814 1010721 1347628 2021442 2695256 3032163 4042884 5390512 6064326 8085768 12128652 16171536 24257304 48514608