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57404416 = 21061919
BaseRepresentation
bin1101101011111…
…0110000000000
311000000110001111
43122332300000
5104143420131
65410213104
71264633546
oct332766000
9130013044
1057404416
112a448873
1217284194
13bb7b714
1478a3d96
15508dab1
hex36bec00

57404416 has 44 divisors (see below), whose sum is σ = 116760880. Its totient is φ = 28200960.

The previous prime is 57404407. The next prime is 57404429. The reversal of 57404416 is 61440475.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62005 + ... + 62923.

Almost surely, 257404416 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 57404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58380440).

57404416 is an abundant number, since it is smaller than the sum of its proper divisors (59356464).

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

57404416 is an equidigital number, since it uses as much as digits as its factorization.

57404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 57404416 is about 7576.5702002951. The cubic root of 57404416 is about 385.7581417767.

The spelling of 57404416 in words is "fifty-seven million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 919 976 1024 1838 1952 3676 3904 7352 7808 14704 15616 29408 31232 56059 58816 62464 112118 117632 224236 235264 448472 470528 896944 941056 1793888 3587776 7175552 14351104 28702208 57404416