Search a number
-
+
46329240 = 23352913313
BaseRepresentation
bin1011000010111…
…0110110011000
310020011202202210
42300232312120
543330013430
64332555120
71101535446
oct260566630
9106152683
1046329240
1124173931
1213622aa0
1397a1669
14621db96
1541022b0
hex2c2ed98

46329240 has 64 divisors (see below), whose sum is σ = 143791200. Its totient is φ = 11927552.

The previous prime is 46329223. The next prime is 46329247. The reversal of 46329240 is 4292364.

46329240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 46329198 and 46329207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46329247) 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 15 ways as a sum of consecutive naturals, for example, 3177 + ... + 10136.

Almost surely, 246329240 is an apocalyptic number.

46329240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46329240 is an abundant number, since it is smaller than the sum of its proper divisors (97461960).

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

46329240 is a wasteful number, since it uses less digits than its factorization.

46329240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 46329240 is about 6806.5586018193. The cubic root of 46329240 is about 359.1575982144.

The spelling of 46329240 in words is "forty-six million, three hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 13313 26626 39939 53252 66565 79878 106504 133130 159756 199695 266260 319512 386077 399390 532520 772154 798780 1158231 1544308 1597560 1930385 2316462 3088616 3860770 4632924 5791155 7721540 9265848 11582310 15443080 23164620 46329240