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4057312 = 25759307
BaseRepresentation
bin1111011110100011100000
321122010120211
433132203200
52014313222
6222543504
746325620
oct17364340
97563524
104057312
112321356
121437b94
13ac099c
14778880
15552277
hex3de8e0

4057312 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1703808.

The previous prime is 4057297. The next prime is 4057321. The reversal of 4057312 is 2137504.

It is a zygodrome in base 15.

It is a congruent number.

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, 13063 + ... + 13369.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 24057312 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 4057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

4057312 is an abundant number, since it is smaller than the sum of its proper divisors (5256608).

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

4057312 is a wasteful number, since it uses less digits than its factorization.

4057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 4057312 is about 2014.2770415213. The cubic root of 4057312 is about 159.4946555993.

The spelling of 4057312 in words is "four million, fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 307 413 472 614 826 944 1228 1652 1888 2149 2456 3304 4298 4912 6608 8596 9824 13216 17192 18113 34384 36226 68768 72452 126791 144904 253582 289808 507164 579616 1014328 2028656 4057312