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57148101 = 3217373517
BaseRepresentation
bin1101101000000…
…0001011000101
310222112102110100
43122000023011
5104112214401
65400514313
71262515353
oct332001305
9128472410
1057148101
112a29323a
121717b999
13babbb5a
1478387d3
15503cb86
hex36802c5

57148101 has 12 divisors (see below), whose sum is σ = 87403212. Its totient is φ = 35857536.

The previous prime is 57148093. The next prime is 57148103. The reversal of 57148101 is 10184175.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 4004001 = 7290^2 + 2001^2 .

It is not a de Polignac number, because 57148101 - 23 = 57148093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57148103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186606 + ... + 186911.

It is an arithmetic number, because the mean of its divisors is an integer number (7283601).

Almost surely, 257148101 is an apocalyptic number.

57148101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57148101 is a deficient number, since it is larger than the sum of its proper divisors (30255111).

57148101 is a wasteful number, since it uses less digits than its factorization.

57148101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373540 (or 373537 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 57148101 is about 7559.6363007753. The cubic root of 57148101 is about 385.1831388213.

The spelling of 57148101 in words is "fifty-seven million, one hundred forty-eight thousand, one hundred one".

Divisors: 1 3 9 17 51 153 373517 1120551 3361653 6349789 19049367 57148101