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4973355 = 3252937103
BaseRepresentation
bin10010111110001100101011
3100100200011100
4102332030223
52233121410
6254332443
760162402
oct22761453
910320140
104973355
112897612
1217ba123
13105191a
14936639
156838c0
hex4be32b

4973355 has 48 divisors (see below), whose sum is σ = 9247680. Its totient is φ = 2467584.

The previous prime is 4973347. The next prime is 4973357. The reversal of 4973355 is 5533794.

4973355 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 4973355 - 23 = 4973347 is a prime.

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

Its product of digits (56700) is a multiple of the sum of its prime factors (180).

4973355 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4973357) 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 47 ways as a sum of consecutive naturals, for example, 48234 + ... + 48336.

It is an arithmetic number, because the mean of its divisors is an integer number (192660).

Almost surely, 24973355 is an apocalyptic number.

4973355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4973355 is a deficient number, since it is larger than the sum of its proper divisors (4274325).

4973355 is a wasteful number, since it uses less digits than its factorization.

4973355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 4973355 is about 2230.1020156038. The cubic root of 4973355 is about 170.6933047783.

The spelling of 4973355 in words is "four million, nine hundred seventy-three thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 29 37 45 87 103 111 145 185 261 309 333 435 515 555 927 1073 1305 1545 1665 2987 3219 3811 4635 5365 8961 9657 11433 14935 16095 19055 26883 34299 44805 48285 57165 110519 134415 171495 331557 552595 994671 1657785 4973355