Search a number
-
+
46996777 is a prime number
BaseRepresentation
bin1011001101000…
…1110100101001
310021102200110101
42303101310221
544012344102
64355145401
71110315562
oct263216451
9107380411
1046996777
112458a413
12138a5261
139976459
146355169
1541d4e87
hex2cd1d29

46996777 has 2 divisors, whose sum is σ = 46996778. Its totient is φ = 46996776.

The previous prime is 46996759. The next prime is 46996793. The reversal of 46996777 is 77769964.

It is a happy number.

46996777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23609881 + 23386896 = 4859^2 + 4836^2 .

It is a cyclic number.

It is not a de Polignac number, because 46996777 - 215 = 46964009 is a prime.

It is not a weakly prime, because it can be changed into another prime (46996727) 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 as a sum of consecutive naturals, namely, 23498388 + 23498389.

It is an arithmetic number, because the mean of its divisors is an integer number (23498389).

Almost surely, 246996777 is an apocalyptic number.

It is an amenable number.

46996777 is a deficient number, since it is larger than the sum of its proper divisors (1).

46996777 is an equidigital number, since it uses as much as digits as its factorization.

46996777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4000752, while the sum is 55.

The square root of 46996777 is about 6855.4195349373. The cubic root of 46996777 is about 360.8743587143.

It can be divided in two parts, 4699 and 6777, that added together give a triangular number (11476 = T151).

The spelling of 46996777 in words is "forty-six million, nine hundred ninety-six thousand, seven hundred seventy-seven".