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46130304 = 2731167163
BaseRepresentation
bin1010111111111…
…0010010000000
310012210122212210
42233332102000
543302132204
64324422120
71100046453
oct257762200
9105718783
1046130304
1124048420
1213547940
139731c4c
1461ab49a
1540b3389
hex2bfe480

46130304 has 128 divisors (see below), whose sum is σ = 136500480. Its totient is φ = 13685760.

The previous prime is 46130291. The next prime is 46130311. The reversal of 46130304 is 40303164.

46130304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 282927 + ... + 283089.

It is an arithmetic number, because the mean of its divisors is an integer number (1066410).

Almost surely, 246130304 is an apocalyptic number.

46130304 is a gapful number since it is divisible by the number (44) 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 46130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68250240).

46130304 is an abundant number, since it is smaller than the sum of its proper divisors (90370176).

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

46130304 is a wasteful number, since it uses less digits than its factorization.

46130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 46130304 is about 6791.9293282542. The cubic root of 46130304 is about 358.6427909524.

Adding to 46130304 its reverse (40303164), we get a palindrome (86433468).

The spelling of 46130304 in words is "forty-six million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 128 132 134 163 176 192 201 264 268 326 352 384 402 489 528 536 652 704 737 804 978 1056 1072 1304 1408 1474 1608 1793 1956 2112 2144 2211 2608 2948 3216 3586 3912 4224 4288 4422 5216 5379 5896 6432 7172 7824 8576 8844 10432 10758 10921 11792 12864 14344 15648 17688 20864 21516 21842 23584 25728 28688 31296 32763 35376 43032 43684 47168 57376 62592 65526 70752 86064 87368 94336 114752 120131 131052 141504 172128 174736 229504 240262 262104 283008 344256 349472 360393 480524 524208 688512 698944 720786 961048 1048416 1397888 1441572 1922096 2096832 2883144 3844192 4193664 5766288 7688384 11532576 15376768 23065152 46130304