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57283057440 = 25345719167199
BaseRepresentation
bin110101010110010101…
…100001011100100000
312110212011011211020000
4311112111201130200
51414303430314230
642152050420000
74065345645240
oct652625413440
9173764154200
1057283057440
1122325879994
12b127b91600
13552b8c0b7b
142ab5acdb20
151753e72b60
hexd56561720

57283057440 has 960 divisors, whose sum is σ = 245887488000. Its totient is φ = 12267915264.

The previous prime is 57283057409. The next prime is 57283057483. The reversal of 57283057440 is 4475038275.

57283057440 is a `hidden beast` number, since 5 + 7 + 2 + 8 + 30 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 287854461 + ... + 287854659.

It is an arithmetic number, because the mean of its divisors is an integer number (256132800).

Almost surely, 257283057440 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 57283057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744000).

57283057440 is an abundant number, since it is smaller than the sum of its proper divisors (188604430560).

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

57283057440 is a wasteful number, since it uses less digits than its factorization.

57283057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 57283057440 in words is "fifty-seven billion, two hundred eighty-three million, fifty-seven thousand, four hundred forty".