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4712352 = 253191257
BaseRepresentation
bin10001111110011110100000
322212102010120
4101332132200
52201243402
6245000240
755024431
oct21763640
98772116
104712352
112729507
1216b3080
13c8cb98
148a9488
156313bc
hex47e7a0

4712352 has 48 divisors (see below), whose sum is σ = 12483072. Its totient is φ = 1556480.

The previous prime is 4712329. The next prime is 4712371. The reversal of 4712352 is 2532174.

4712352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×47123522 = 44412522743808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18208 + ... + 18464.

It is an arithmetic number, because the mean of its divisors is an integer number (260064).

Almost surely, 24712352 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 4712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241536).

4712352 is an abundant number, since it is smaller than the sum of its proper divisors (7770720).

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

4712352 is a wasteful number, since it uses less digits than its factorization.

4712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4712352 is about 2170.7952459871. The cubic root of 4712352 is about 167.6534807672.

The spelling of 4712352 in words is "four million, seven hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 257 382 514 573 764 771 1028 1146 1528 1542 2056 2292 3056 3084 4112 4584 6112 6168 8224 9168 12336 18336 24672 49087 98174 147261 196348 294522 392696 589044 785392 1178088 1570784 2356176 4712352