Search a number
-
+
99791048 = 237341887
BaseRepresentation
bin1011111001010…
…11000011001000
320221202220120202
411330223003020
5201021303143
613522511332
72321132000
oct574530310
9227686522
1099791048
1151369545
1229505548
131789c676
14d379000
158b62ab8
hex5f2b0c8

99791048 has 64 divisors (see below), whose sum is σ = 223776000. Its totient is φ = 41677440.

The previous prime is 99791047. The next prime is 99791051. The reversal of 99791048 is 84019799.

It is a junction number, because it is equal to n+sod(n) for n = 99790993 and 99791011.

It is not an unprimeable number, because it can be changed into a prime (99791047) 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 15 ways as a sum of consecutive naturals, for example, 112061 + ... + 112947.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 299791048 is an apocalyptic number.

99791048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99791048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888000).

99791048 is an abundant number, since it is smaller than the sum of its proper divisors (123984952).

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

99791048 is a wasteful number, since it uses less digits than its factorization.

99791048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 99791048 is about 9989.5469366734. The cubic root of 99791048 is about 463.8353681694.

The spelling of 99791048 in words is "ninety-nine million, seven hundred ninety-one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 343 392 574 686 887 1148 1372 1774 2009 2296 2744 3548 4018 6209 7096 8036 12418 14063 16072 24836 28126 36367 43463 49672 56252 72734 86926 112504 145468 173852 254569 290936 304241 347704 509138 608482 1018276 1216964 1781983 2036552 2433928 3563966 7127932 12473881 14255864 24947762 49895524 99791048