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48833316 = 223271711399
BaseRepresentation
bin1011101001001…
…0001100100100
310101212222201100
42322102030210
5100000131231
64502400100
71132035120
oct272221444
9111788640
1048833316
1125624214
1214430030
13a16a36c
1466b2580
1544491e6
hex2e92324

48833316 has 72 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 13130496.

The previous prime is 48833311. The next prime is 48833327. The reversal of 48833316 is 61333884.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (48833311) 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 23 ways as a sum of consecutive naturals, for example, 1416 + ... + 9983.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 248833316 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 48833316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

48833316 is an abundant number, since it is smaller than the sum of its proper divisors (100552284).

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

48833316 is a wasteful number, since it uses less digits than its factorization.

48833316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11428 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48833316 is about 6988.0838575392. The cubic root of 48833316 is about 365.5151692026.

The spelling of 48833316 in words is "forty-eight million, eight hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 11399 22798 34197 45596 68394 79793 102591 136788 159586 193783 205182 239379 319172 387566 410364 478758 581349 718137 775132 957516 1162698 1356481 1436274 1744047 2325396 2712962 2872548 3488094 4069443 5425924 6976188 8138886 12208329 16277772 24416658 48833316