Search a number
-
+
48361068 = 22327434463
BaseRepresentation
bin1011100001111…
…0111001101100
310100222222220200
42320132321230
544340023233
64444313500
71125030240
oct270367154
9110888820
1048361068
1125331428
1214242890
13a033422
1465cc420
1543a4313
hex2e1ee6c

48361068 has 72 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 13493088.

The previous prime is 48361063. The next prime is 48361091. The reversal of 48361068 is 86016384.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (48361063) 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, 8605 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 248361068 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 48361068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

48361068 is an abundant number, since it is smaller than the sum of its proper divisors (94629780).

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

48361068 is a wasteful number, since it uses less digits than its factorization.

48361068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48361068 is about 6954.2122487022. The cubic root of 48361068 is about 364.3330988617. Note that the first 3 decimals are identical.

The spelling of 48361068 in words is "forty-eight million, three hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 4463 5418 8926 10836 13389 17852 26778 31241 40167 53556 62482 80334 93723 124964 160668 187446 191909 281169 374892 383818 562338 575727 767636 1124676 1151454 1343363 1727181 2302908 2686726 3454362 4030089 5373452 6908724 8060178 12090267 16120356 24180534 48361068