Search a number
-
+
46375264 = 2513412719
BaseRepresentation
bin1011000011101…
…0000101100000
310020021002220101
42300322011200
543333002024
64333552144
71102116565
oct260720540
9106232811
1046375264
11241a5471
1213645654
1397b95b0
14623286c
154110c44
hex2c3a160

46375264 has 48 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 20874240.

The previous prime is 46375253. The next prime is 46375267. The reversal of 46375264 is 46257364.

It is a super-2 number, since 2×463752642 = 4301330222139392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46375267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15697 + ... + 18415.

It is an arithmetic number, because the mean of its divisors is an integer number (2099160).

Almost surely, 246375264 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 46375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

46375264 is an abundant number, since it is smaller than the sum of its proper divisors (54384416).

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

46375264 is a wasteful number, since it uses less digits than its factorization.

46375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2775 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 46375264 is about 6809.9386194003. The cubic root of 46375264 is about 359.2764892838.

The spelling of 46375264 in words is "forty-six million, three hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 2719 4264 5438 8528 10876 17056 21752 35347 43504 70694 87008 111479 141388 222958 282776 445916 565552 891832 1131104 1449227 1783664 2898454 3567328 5796908 11593816 23187632 46375264