Search a number
-
+
46114050 = 23523147211
BaseRepresentation
bin1010111111101…
…0010100000010
310012202211120210
42233322110002
543301122200
64324214550
71066651203
oct257722402
9105684523
1046114050
1124037194
121353a456
139727728
1461a55aa
1540ad650
hex2bfa502

46114050 has 96 divisors (see below), whose sum is σ = 121135104. Its totient is φ = 11592000.

The previous prime is 46114043. The next prime is 46114073. The reversal of 46114050 is 5041164.

46114050 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 47 ways as a sum of consecutive naturals, for example, 218445 + ... + 218655.

It is an arithmetic number, because the mean of its divisors is an integer number (1261824).

Almost surely, 246114050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60567552).

46114050 is an abundant number, since it is smaller than the sum of its proper divisors (75021054).

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

46114050 is a wasteful number, since it uses less digits than its factorization.

46114050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 46114050 is about 6790.7326556124. The cubic root of 46114050 is about 358.6006634410.

The spelling of 46114050 in words is "forty-six million, one hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 47 50 62 75 93 94 141 150 155 186 211 235 282 310 422 465 470 633 705 775 930 1055 1175 1266 1410 1457 1550 2110 2325 2350 2914 3165 3525 4371 4650 5275 6330 6541 7050 7285 8742 9917 10550 13082 14570 15825 19623 19834 21855 29751 31650 32705 36425 39246 43710 49585 59502 65410 72850 98115 99170 109275 148755 163525 196230 218550 247925 297510 307427 327050 490575 495850 614854 743775 922281 981150 1487550 1537135 1844562 3074270 4611405 7685675 9222810 15371350 23057025 46114050