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4722768 = 243232797
BaseRepresentation
bin10010000001000001010000
322212221102100
4102001001100
52202112033
6245120400
755100001
oct22010120
98787370
104722768
112736316
1216b9100
13c9484b
148ad1a8
15634513
hex481050

4722768 has 30 divisors (see below), whose sum is σ = 13217594. Its totient is φ = 1574208.

The previous prime is 4722761. The next prime is 4722769. The reversal of 4722768 is 8672274.

It can be written as a sum of positive squares in only one way, i.e., 4717584 + 5184 = 2172^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 411 + 73 + 27 + 219 + 74 + 64 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4722761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16255 + ... + 16542.

Almost surely, 24722768 is an apocalyptic number.

4722768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4722768 is an abundant number, since it is smaller than the sum of its proper divisors (8494826).

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

4722768 is a wasteful number, since it uses less digits than its factorization.

4722768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32811 (or 32802 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4722768 is about 2173.1930425068. The cubic root of 4722768 is about 167.7769147832.

It can be divided in two parts, 472 and 2768, that added together give a triangular number (3240 = T80).

The spelling of 4722768 in words is "four million, seven hundred twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 32797 65594 98391 131188 196782 262376 295173 393564 524752 590346 787128 1180692 1574256 2361384 4722768