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48077148 = 22375310799
BaseRepresentation
bin1011011101100…
…1100101011100
310100110120110010
42313121211130
544301432043
64434243220
71122435420
oct267314534
9110416403
1048077148
1125158089
1214126510
139c64122
146556b80
15434a133
hex2dd995c

48077148 has 48 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 13475904.

The previous prime is 48077147. The next prime is 48077149. The reversal of 48077148 is 84177084.

It is an interprime number because it is at equal distance from previous prime (48077147) and next prime (48077149).

It is a super-3 number, since 3×480771483 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 248077148 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 48077148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

48077148 is an abundant number, since it is smaller than the sum of its proper divisors (82559652).

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

48077148 is a wasteful number, since it uses less digits than its factorization.

48077148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 48077148 is about 6933.7686722301. The cubic root of 48077148 is about 363.6187188181.

The spelling of 48077148 in words is "forty-eight million, seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 10799 21598 32397 43196 64794 75593 129588 151186 226779 302372 453558 572347 907116 1144694 1717041 2289388 3434082 4006429 6868164 8012858 12019287 16025716 24038574 48077148