Search a number
-
+
48910995 = 32572343157
BaseRepresentation
bin1011101010010…
…1001010010011
310102000221021100
42322211022103
5100010122440
64504155443
71132510440
oct272451223
9112027240
1048910995
1125677611
1214468b83
13a196823
1466d29c7
154462230
hex2ea5293

48910995 has 96 divisors (see below), whose sum is σ = 104113152. Its totient is φ = 20756736.

The previous prime is 48910993. The next prime is 48911011. The reversal of 48910995 is 59901984.

48910995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

48910995 is a nontrivial binomial coefficient, being equal to C(9891, 2).

It is not a de Polignac number, because 48910995 - 21 = 48910993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 48910995.

It is not an unprimeable number, because it can be changed into a prime (48910993) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 311457 + ... + 311613.

It is an arithmetic number, because the mean of its divisors is an integer number (1084512).

Almost surely, 248910995 is an apocalyptic number.

48910995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48910995 is the 9890-th triangular number.

48910995 is an abundant number, since it is smaller than the sum of its proper divisors (55202157).

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

48910995 is a wasteful number, since it uses less digits than its factorization.

48910995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 48910995 is about 6993.6396103889. The cubic root of 48910995 is about 365.7088744680.

The spelling of 48910995 in words is "forty-eight million, nine hundred ten thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 43 45 63 69 105 115 129 157 161 207 215 301 315 345 387 471 483 645 785 805 903 989 1035 1099 1413 1449 1505 1935 2355 2415 2709 2967 3297 3611 4515 4945 5495 6751 6923 7065 7245 8901 9891 10833 13545 14835 16485 18055 20253 20769 25277 32499 33755 34615 44505 47257 49455 54165 60759 62307 75831 101265 103845 126385 141771 155273 162495 227493 236285 303795 311535 379155 425313 465819 708855 776365 1086911 1137465 1397457 2126565 2329095 3260733 5434555 6987285 9782199 16303665 48910995