Search a number
-
+
48906837 = 3274783199
BaseRepresentation
bin1011101010010…
…0001001010101
310102000201120100
42322210021111
5100010004322
64504124313
71132462350
oct272441125
9112021510
1048906837
1125674481
1214466699
13a194975
1466d1297
154460dac
hex2ea4255

48906837 has 48 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 26886816.

The previous prime is 48906829. The next prime is 48906839. The reversal of 48906837 is 73860984.

It is a happy number.

It is not a de Polignac number, because 48906837 - 23 = 48906829 is a prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 48906792 and 48906801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48906839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245664 + ... + 245862.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 248906837 is an apocalyptic number.

48906837 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

48906837 is a deficient number, since it is larger than the sum of its proper divisors (34958763).

48906837 is a wasteful number, since it uses less digits than its factorization.

48906837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48906837 is about 6993.3423339631. The cubic root of 48906837 is about 365.6985110136.

The spelling of 48906837 in words is "forty-eight million, nine hundred six thousand, eight hundred thirty-seven".

Divisors: 1 3 7 9 21 47 63 83 141 199 249 329 423 581 597 747 987 1393 1743 1791 2961 3901 4179 5229 9353 11703 12537 16517 27307 28059 35109 49551 65471 81921 84177 115619 148653 196413 245763 346857 589239 776299 1040571 2328897 5434093 6986691 16302279 48906837