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48855114 = 232711101349
BaseRepresentation
bin1011101001011…
…1100001001010
310101221002121200
42322113201022
5100001330424
64503045030
71132155510
oct272274112
9111832550
1048855114
1125639630
1214440776
13a177269
1466ba4b0
1544508c9
hex2e9784a

48855114 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 12528000.

The previous prime is 48855109. The next prime is 48855119. The reversal of 48855114 is 41155884.

48855114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48855109) and next prime (48855119).

It is not an unprimeable number, because it can be changed into a prime (48855119) 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 47 ways as a sum of consecutive naturals, for example, 139812 + ... + 140160.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 248855114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48855114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

48855114 is an abundant number, since it is smaller than the sum of its proper divisors (84805686).

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

48855114 is a wasteful number, since it uses less digits than its factorization.

48855114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 48855114 is about 6989.6433385402. The cubic root of 48855114 is about 365.5695467949.

It can be divided in two parts, 4885 and 5114, that added together give a palindrome (9999).

The spelling of 48855114 in words is "forty-eight million, eight hundred fifty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 101 126 154 198 202 231 303 349 462 606 693 698 707 909 1047 1111 1386 1414 1818 2094 2121 2222 2443 3141 3333 3839 4242 4886 6282 6363 6666 7329 7678 7777 9999 11517 12726 14658 15554 19998 21987 23034 23331 26873 34551 35249 43974 46662 53746 69102 69993 70498 80619 105747 139986 161238 211494 241857 246743 317241 387739 483714 493486 634482 740229 775478 1163217 1480458 2220687 2326434 2714173 3489651 4441374 5428346 6979302 8142519 16285038 24427557 48855114