Search a number
-
+
46112720 = 2451075387
BaseRepresentation
bin1010111111100…
…1111111010000
310012202202202112
42233321333100
543301101340
64324204452
71066644263
oct257717720
9105682675
1046112720
1124036195
1213539728
139726c44
1461a4cda
1540ad065
hex2bf9fd0

46112720 has 40 divisors (see below), whose sum is σ = 108234144. Its totient is φ = 18269312.

The previous prime is 46112711. The next prime is 46112747. The reversal of 46112720 is 2721164.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5867 + ... + 11253.

Almost surely, 246112720 is an apocalyptic number.

46112720 is a gapful number since it is divisible by the number (40) 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 46112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54117072).

46112720 is an abundant number, since it is smaller than the sum of its proper divisors (62121424).

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

46112720 is a wasteful number, since it uses less digits than its factorization.

46112720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 46112720 is about 6790.6347273285. The cubic root of 46112720 is about 358.5972158767.

Adding to 46112720 its reverse (2721164), we get a palindrome (48833884).

The spelling of 46112720 in words is "forty-six million, one hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 5387 8560 10774 21548 26935 43096 53870 86192 107740 215480 430960 576409 1152818 2305636 2882045 4611272 5764090 9222544 11528180 23056360 46112720