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4763968 = 261167101
BaseRepresentation
bin10010001011000101000000
322222000221021
4102023011000
52204421333
6250035224
755331056
oct22130500
98860837
104763968
112764270
121718b14
13caa521
148c01d6
1564182d
hex48b140

4763968 has 56 divisors (see below), whose sum is σ = 10570464. Its totient is φ = 2112000.

The previous prime is 4763959. The next prime is 4763971. The reversal of 4763968 is 8693674.

It is a happy number.

It is a super-2 number, since 2×47639682 = 45390782210048, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47118 + ... + 47218.

Almost surely, 24763968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285232).

4763968 is an abundant number, since it is smaller than the sum of its proper divisors (5806496).

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

4763968 is a wasteful number, since it uses less digits than its factorization.

4763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 4763968 is about 2182.6515984004. The cubic root of 4763968 is about 168.2633812760.

It can be divided in two parts, 476 and 3968, that added together give a palindrome (4444).

The spelling of 4763968 in words is "four million, seven hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 101 134 176 202 268 352 404 536 704 737 808 1072 1111 1474 1616 2144 2222 2948 3232 4288 4444 5896 6464 6767 8888 11792 13534 17776 23584 27068 35552 47168 54136 71104 74437 108272 148874 216544 297748 433088 595496 1190992 2381984 4763968