Search a number
-
+
48440756 = 22713731823
BaseRepresentation
bin1011100011001…
…0010110110100
310101011001020002
42320302112310
544400101011
64450130432
71125511460
oct270622664
9111131202
1048440756
1125386291
1214280a18
13a060790
14660d4a0
1543bcc3b
hex2e325b4

48440756 has 48 divisors (see below), whose sum is σ = 105821184. Its totient is φ = 18890496.

The previous prime is 48440731. The next prime is 48440761. The reversal of 48440756 is 65704484.

48440756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25661 + ... + 27483.

It is an arithmetic number, because the mean of its divisors is an integer number (2204608).

Almost surely, 248440756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48440756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52910592).

48440756 is an abundant number, since it is smaller than the sum of its proper divisors (57380428).

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

48440756 is a wasteful number, since it uses less digits than its factorization.

48440756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 48440756 is about 6959.9393675520. The cubic root of 48440756 is about 364.5331016407.

The spelling of 48440756 in words is "forty-eight million, four hundred forty thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 146 182 292 364 511 949 1022 1823 1898 2044 3646 3796 6643 7292 12761 13286 23699 25522 26572 47398 51044 94796 133079 165893 266158 331786 532316 663572 931553 1730027 1863106 3460054 3726212 6920108 12110189 24220378 48440756