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57913344 = 212321571
BaseRepresentation
bin1101110011101…
…1000000000000
311000222022011200
43130323000000
5104311211334
65425141200
71302153366
oct334730000
9130868150
1057913344
112a766175
121748a800
13bcc9268
147997636
15513e799
hex373b000

57913344 has 78 divisors (see below), whose sum is σ = 167391276. Its totient is φ = 19292160.

The previous prime is 57913343. The next prime is 57913369. The reversal of 57913344 is 44331975.

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

It is a junction number, because it is equal to n+sod(n) for n = 57913299 and 57913308.

It is not an unprimeable number, because it can be changed into a prime (57913343) 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, 36079 + ... + 37649.

It is an arithmetic number, because the mean of its divisors is an integer number (2146042).

Almost surely, 257913344 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 57913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83695638).

57913344 is an abundant number, since it is smaller than the sum of its proper divisors (109477932).

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

57913344 is a wasteful number, since it uses less digits than its factorization.

57913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1576 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 57913344 is about 7610.0817341209. The cubic root of 57913344 is about 386.8947894196.

The spelling of 57913344 in words is "fifty-seven million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1571 2048 2304 3072 3142 4096 4608 4713 6144 6284 9216 9426 12288 12568 14139 18432 18852 25136 28278 36864 37704 50272 56556 75408 100544 113112 150816 201088 226224 301632 402176 452448 603264 804352 904896 1206528 1608704 1809792 2413056 3217408 3619584 4826112 6434816 7239168 9652224 14478336 19304448 28956672 57913344