Search a number
-
+
46315100 = 225213231549
BaseRepresentation
bin1011000010101…
…1011001011100
310020011001101002
42300223121130
543324040400
64332405432
71101446306
oct260533134
9106131332
1046315100
1124164247
1213616878
1397980b0
146218976
1540eced5
hex2c2b65c

46315100 has 72 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 16346880.

The previous prime is 46315067. The next prime is 46315109. The reversal of 46315100 is 151364.

46315100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46315109) 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 23 ways as a sum of consecutive naturals, for example, 29126 + ... + 30674.

Almost surely, 246315100 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 46315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

46315100 is an abundant number, since it is smaller than the sum of its proper divisors (66698500).

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

46315100 is a wasteful number, since it uses less digits than its factorization.

46315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 46315100 is about 6805.5198185003. The cubic root of 46315100 is about 359.1210553804.

Adding to 46315100 its reverse (151364), we get a palindrome (46466464).

The spelling of 46315100 in words is "forty-six million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 1549 2300 2990 3098 5980 6196 7475 7745 14950 15490 20137 29900 30980 35627 38725 40274 71254 77450 80548 100685 142508 154900 178135 201370 356270 402740 463151 503425 712540 890675 926302 1006850 1781350 1852604 2013700 2315755 3562700 4631510 9263020 11578775 23157550 46315100