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48676698 = 23272229241
BaseRepresentation
bin1011100110101…
…1111101011010
310101121000212200
42321223331122
544430123243
64455151030
71130513400
oct271537532
9111530780
1048676698
1125527584
1214375476
13a113ca5
146671470
154417ad3
hex2e6bf5a

48676698 has 72 divisors (see below), whose sum is σ = 123732180. Its totient is φ = 13789440.

The previous prime is 48676679. The next prime is 48676699. The reversal of 48676698 is 89667684.

48676698 is a `hidden beast` number, since 486 + 76 + 6 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41563809 + 7112889 = 6447^2 + 2667^2 .

It is not an unprimeable number, because it can be changed into a prime (48676699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201858 + ... + 202098.

Almost surely, 248676698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48676698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61866090).

48676698 is an abundant number, since it is smaller than the sum of its proper divisors (75055482).

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

48676698 is a wasteful number, since it uses less digits than its factorization.

48676698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 48676698 is about 6976.8687819107. The cubic root of 48676698 is about 365.1239911523.

The spelling of 48676698 in words is "forty-eight million, six hundred seventy-six thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 229 241 294 441 458 482 687 723 882 1374 1446 1603 1687 2061 2169 3206 3374 4122 4338 4809 5061 9618 10122 11221 11809 14427 15183 22442 23618 28854 30366 33663 35427 55189 67326 70854 100989 106281 110378 165567 201978 212562 331134 386323 496701 772646 993402 1158969 2317938 2704261 3476907 5408522 6953814 8112783 16225566 24338349 48676698