Search a number
-
+
48794868 = 223223311901
BaseRepresentation
bin1011101000100…
…0110011110100
310101211000222100
42322020303310
544442413433
64501502100
71131515043
oct272106364
9111730870
1048794868
11255a8341
1214411930
13a155a05
1466a255a
15443cb13
hex2e88cf4

48794868 has 72 divisors (see below), whose sum is σ = 132926976. Its totient is φ = 15048000.

The previous prime is 48794857. The next prime is 48794881. The reversal of 48794868 is 86849784.

48794868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 24718 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (1846208).

Almost surely, 248794868 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 48794868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66463488).

48794868 is an abundant number, since it is smaller than the sum of its proper divisors (84132108).

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

48794868 is a wasteful number, since it uses less digits than its factorization.

48794868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1960 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 48794868 is about 6985.3323471400. The cubic root of 48794868 is about 365.4192168337.

The spelling of 48794868 in words is "forty-eight million, seven hundred ninety-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 1901 2139 2852 3802 4278 5703 6417 7604 8556 11406 12834 17109 22812 25668 34218 43723 58931 68436 87446 117862 131169 174892 176793 235724 262338 353586 393507 524676 530379 707172 787014 1060758 1355413 1574028 2121516 2710826 4066239 5421652 8132478 12198717 16264956 24397434 48794868