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57521152 = 2101329149
BaseRepresentation
bin1101101101101…
…1010000000000
311000020101012001
43123123100000
5104211134102
65412513344
71265631103
oct333332000
9130211161
1057521152
112a518547
121731b854
13bbbc8b0
1478d473a
1550b3487
hex36db400

57521152 has 88 divisors (see below), whose sum is σ = 128961000. Its totient is φ = 25460736.

The previous prime is 57521131. The next prime is 57521159. The reversal of 57521152 is 25112575.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 57517056 = 64^2 + 7584^2 .

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 57521152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57521159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385974 + ... + 386122.

Almost surely, 257521152 is an apocalyptic number.

57521152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64480500).

57521152 is an abundant number, since it is smaller than the sum of its proper divisors (71439848).

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

57521152 is a wasteful number, since it uses less digits than its factorization.

57521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its digits is 3500, while the sum is 28.

The square root of 57521152 is about 7584.2700373866. The cubic root of 57521152 is about 386.0194536805.

The spelling of 57521152 in words is "fifty-seven million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 149 208 232 256 298 377 416 464 512 596 754 832 928 1024 1192 1508 1664 1856 1937 2384 3016 3328 3712 3874 4321 4768 6032 6656 7424 7748 8642 9536 12064 13312 14848 15496 17284 19072 24128 29696 30992 34568 38144 48256 56173 61984 69136 76288 96512 112346 123968 138272 152576 193024 224692 247936 276544 386048 449384 495872 553088 898768 991744 1106176 1797536 1983488 2212352 3595072 4424704 7190144 14380288 28760576 57521152