Search a number
-
+
46330700 = 225213157227
BaseRepresentation
bin1011000010111…
…1001101001100
310020011211202212
42300233031030
543330040300
64333005552
71101542633
oct260571514
9106154685
1046330700
1124174a39
12136238b8
1397a2220
14622051a
154102935
hex2c2f34c

46330700 has 72 divisors (see below), whose sum is σ = 109440912. Its totient is φ = 16922880.

The previous prime is 46330681. The next prime is 46330723. The reversal of 46330700 is 703364.

46330700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 203987 + ... + 204213.

Almost surely, 246330700 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 46330700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720456).

46330700 is an abundant number, since it is smaller than the sum of its proper divisors (63110212).

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

46330700 is a wasteful number, since it uses less digits than its factorization.

46330700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 46330700 is about 6806.6658504733. The cubic root of 46330700 is about 359.1613709548.

The spelling of 46330700 in words is "forty-six million, three hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 227 260 314 325 454 628 650 785 908 1135 1300 1570 2041 2270 2951 3140 3925 4082 4540 5675 5902 7850 8164 10205 11350 11804 14755 15700 20410 22700 29510 35639 40820 51025 59020 71278 73775 102050 142556 147550 178195 204100 295100 356390 463307 712780 890975 926614 1781950 1853228 2316535 3563900 4633070 9266140 11582675 23165350 46330700