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49929048 = 2334135927
BaseRepresentation
bin1011111001110…
…1101101011000
310110221122210000
42332131231120
5100240212143
64542053000
71144250511
oct276355530
9113848700
1049929048
1126202484
121487a160
13a462020
1468b9a08
1545b3bd3
hex2f9db58

49929048 has 80 divisors (see below), whose sum is σ = 150630480. Its totient is φ = 15360192.

The previous prime is 49929043. The next prime is 49929071. The reversal of 49929048 is 84092994.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49928994 and 49929012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49929041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5461 + ... + 11387.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 249929048 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 49929048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75315240).

49929048 is an abundant number, since it is smaller than the sum of its proper divisors (100701432).

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

49929048 is a wasteful number, since it uses less digits than its factorization.

49929048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 49929048 is about 7066.0489667140. The cubic root of 49929048 is about 368.2288077700.

The spelling of 49929048 in words is "forty-nine million, nine hundred twenty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 5927 8424 11854 17781 23708 35562 47416 53343 71124 77051 106686 142248 154102 160029 213372 231153 308204 320058 426744 462306 480087 616408 640116 693459 924612 960174 1280232 1386918 1849224 1920348 2080377 2773836 3840696 4160754 5547672 6241131 8321508 12482262 16643016 24964524 49929048