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4664772 = 22327107173
BaseRepresentation
bin10001110010110111000100
322202222212100
4101302313010
52143233042
6243552100
754435630
oct21626704
98688770
104664772
1126a6792
12168b630
13c74328
14895dc0
1562224c
hex472dc4

4664772 has 72 divisors (see below), whose sum is σ = 13680576. Its totient is φ = 1312704.

The previous prime is 4664711. The next prime is 4664789. The reversal of 4664772 is 2774664.

4664772 is a `hidden beast` number, since 4 + 6 + 647 + 7 + 2 = 666.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26878 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (190008).

Almost surely, 24664772 is an apocalyptic number.

4664772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840288).

4664772 is an abundant number, since it is smaller than the sum of its proper divisors (9015804).

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

4664772 is a wasteful number, since it uses less digits than its factorization.

4664772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4664772 is about 2159.8083248288. The cubic root of 4664772 is about 167.0873125601.

The spelling of 4664772 in words is "four million, six hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 173 214 252 321 346 428 519 642 692 749 963 1038 1211 1284 1498 1557 1926 2076 2247 2422 2996 3114 3633 3852 4494 4844 6228 6741 7266 8988 10899 13482 14532 18511 21798 26964 37022 43596 55533 74044 111066 129577 166599 222132 259154 333198 388731 518308 666396 777462 1166193 1554924 2332386 4664772