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4724896 = 251131433
BaseRepresentation
bin10010000001100010100000
322220001100011
4102001202200
52202144041
6245134304
755106131
oct22014240
98801304
104724896
112737980
1216ba394
13c957c7
148adc88
15634e81
hex4818a0

4724896 has 48 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 2073600.

The previous prime is 4724891. The next prime is 4724903. The reversal of 4724896 is 6984274.

It is a d-powerful number, because it can be written as 47 + 77 + 221 + 47 + 85 + 95 + 68 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4724891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 11128.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 24724896 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 4724896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4724896 is an abundant number, since it is smaller than the sum of its proper divisors (5774432).

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

4724896 is a wasteful number, since it uses less digits than its factorization.

4724896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 4724896 is about 2173.6825895241. The cubic root of 4724896 is about 167.8021101534.

The spelling of 4724896 in words is "four million, seven hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 433 496 682 866 992 1364 1732 2728 3464 4763 5456 6928 9526 10912 13423 13856 19052 26846 38104 53692 76208 107384 147653 152416 214768 295306 429536 590612 1181224 2362448 4724896