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4711968 = 253216361
BaseRepresentation
bin10001111110011000100000
322212101121100
4101332120200
52201240333
6244554400
755023342
oct21763040
98771540
104711968
112729198
1216b2a00
13c8c961
148a9292
15631213
hex47e620

4711968 has 36 divisors (see below), whose sum is σ = 13400478. Its totient is φ = 1570560.

The previous prime is 4711963. The next prime is 4711979. The reversal of 4711968 is 8691174.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 501264 = 2052^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4711963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7893 + ... + 8468.

Almost surely, 24711968 is an apocalyptic number.

4711968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4711968 is an abundant number, since it is smaller than the sum of its proper divisors (8688510).

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

4711968 is a wasteful number, since it uses less digits than its factorization.

4711968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16377 (or 16366 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 4711968 is about 2170.7067973358. The cubic root of 4711968 is about 167.6489267295.

The spelling of 4711968 in words is "four million, seven hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16361 32722 49083 65444 98166 130888 147249 196332 261776 294498 392664 523552 588996 785328 1177992 1570656 2355984 4711968