Search a number
-
+
48737682 = 2327503769
BaseRepresentation
bin1011100111101…
…0110110010010
310101201010112100
42321322312102
544434101212
64500341230
71131156240
oct271726622
9111633470
1048737682
1125569384
12143a4816
13a135986
146689790
15442abdc
hex2e7ad92

48737682 has 48 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 13879296.

The previous prime is 48737681. The next prime is 48737699. The reversal of 48737682 is 28673784.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48737681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62994 + ... + 63762.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 248737682 is an apocalyptic number.

48737682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

48737682 is an abundant number, since it is smaller than the sum of its proper divisors (72343278).

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

48737682 is a wasteful number, since it uses less digits than its factorization.

48737682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 48737682 is about 6981.2378558534. The cubic root of 48737682 is about 365.2764078800.

The spelling of 48737682 in words is "forty-eight million, seven hundred thirty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 503 769 1006 1509 1538 2307 3018 3521 4527 4614 5383 6921 7042 9054 10563 10766 13842 16149 21126 31689 32298 48447 63378 96894 386807 773614 1160421 2320842 2707649 3481263 5415298 6962526 8122947 16245894 24368841 48737682