Search a number
-
+
46276506 = 23223111779
BaseRepresentation
bin1011000010000…
…1111110011010
310020002002102200
42300201332122
543321322011
64331511030
71101225633
oct260417632
9106062380
1046276506
1124138251
12135b8476
139783663
14620888a
1540e1856
hex2c21f9a

46276506 has 24 divisors (see below), whose sum is σ = 104626080. Its totient is φ = 14754696.

The previous prime is 46276501. The next prime is 46276511. The reversal of 46276506 is 60567264.

46276506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46276501) and next prime (46276511).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46276501) 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 11 ways as a sum of consecutive naturals, for example, 55476 + ... + 56303.

It is an arithmetic number, because the mean of its divisors is an integer number (4359420).

Almost surely, 246276506 is an apocalyptic number.

46276506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

46276506 is an abundant number, since it is smaller than the sum of its proper divisors (58349574).

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

46276506 is a wasteful number, since it uses less digits than its factorization.

46276506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111810 (or 111807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 46276506 is about 6802.6837351151. The cubic root of 46276506 is about 359.0212767655.

The spelling of 46276506 in words is "forty-six million, two hundred seventy-six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 111779 223558 335337 670674 1006011 2012022 2570917 5141834 7712751 15425502 23138253 46276506