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4735248 = 243717829
BaseRepresentation
bin10010000100000100010000
322220120112120
4102010010100
52203011443
6245254240
755151250
oct22040420
98816476
104735248
112744731
121704380
13c9a42b
148b3960
15638083
hex484110

4735248 has 80 divisors (see below), whose sum is σ = 14820480. Its totient is φ = 1271808.

The previous prime is 4735229. The next prime is 4735253. The reversal of 4735248 is 8425374.

4735248 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5298 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (185256).

Almost surely, 24735248 is an apocalyptic number.

4735248 is a gapful number since it is divisible by the number (48) 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 4735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410240).

4735248 is an abundant number, since it is smaller than the sum of its proper divisors (10085232).

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

4735248 is a wasteful number, since it uses less digits than its factorization.

4735248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 4735248 is about 2176.0624991024. The cubic root of 4735248 is about 167.9245693119.

The spelling of 4735248 in words is "four million, seven hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 829 952 1428 1658 1904 2487 2856 3316 4974 5712 5803 6632 9948 11606 13264 14093 17409 19896 23212 28186 34818 39792 42279 46424 56372 69636 84558 92848 98651 112744 139272 169116 197302 225488 278544 295953 338232 394604 591906 676464 789208 1183812 1578416 2367624 4735248