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48277116 = 223283107151
BaseRepresentation
bin1011100000101…
…0011001111100
310100211201202100
42320022121330
544324331431
64442425100
71124230416
oct270123174
9110751670
1048277116
1125284348
1214202190
13a004154
1465a99b6
1543894e6
hex2e0a67c

48277116 has 72 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 15645600.

The previous prime is 48277111. The next prime is 48277139. The reversal of 48277116 is 61177284.

48277116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48277111) 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 23 ways as a sum of consecutive naturals, for example, 319641 + ... + 319791.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 248277116 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 48277116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

48277116 is an abundant number, since it is smaller than the sum of its proper divisors (77206788).

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

48277116 is a wasteful number, since it uses less digits than its factorization.

48277116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 48277116 is about 6948.1735729615. The cubic root of 48277116 is about 364.1221564001.

The spelling of 48277116 in words is "forty-eight million, two hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 83 107 151 166 214 249 302 321 332 428 453 498 604 642 747 906 963 996 1284 1359 1494 1812 1926 2718 2988 3852 5436 8881 12533 16157 17762 25066 26643 32314 35524 37599 48471 50132 53286 64628 75198 79929 96942 106572 112797 145413 150396 159858 193884 225594 290826 319716 451188 581652 1341031 2682062 4023093 5364124 8046186 12069279 16092372 24138558 48277116