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4988148 = 22311233153
BaseRepresentation
bin10011000001110011110100
3100101102110020
4103001303310
52234110043
6254525140
760253464
oct23016364
910342406
104988148
1128a7740
1218067b0
131058589
1493bba4
15687e83
hex4c1cf4

4988148 has 96 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 1372800.

The previous prime is 4988143. The next prime is 4988173. The reversal of 4988148 is 8418894.

4988148 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4988141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94090 + ... + 94142.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 24988148 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 4988148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

4988148 is an abundant number, since it is smaller than the sum of its proper divisors (8946444).

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

4988148 is a wasteful number, since it uses less digits than its factorization.

4988148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 4988148 is about 2233.4162173675. The cubic root of 4988148 is about 170.8623768718.

It can be divided in two parts, 498 and 8148, that added together give a triangular number (8646 = T131).

The spelling of 4988148 in words is "four million, nine hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 53 62 66 69 92 93 106 124 132 138 159 186 212 253 276 318 341 372 506 583 636 682 713 759 1012 1023 1166 1219 1364 1426 1518 1643 1749 2046 2139 2332 2438 2852 3036 3286 3498 3657 4092 4278 4876 4929 6572 6996 7314 7843 8556 9858 13409 14628 15686 18073 19716 23529 26818 31372 36146 37789 40227 47058 53636 54219 72292 75578 80454 94116 108438 113367 151156 160908 216876 226734 415679 453468 831358 1247037 1662716 2494074 4988148