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57573138 = 2372316317
BaseRepresentation
bin1101101110011…
…1111100010010
311000100000111110
43123213330102
5104214320023
65413554150
71266235500
oct333477422
9130300443
1057573138
112a553607
1217345956
13bc0a45c
147909670
1550c3a93
hex36e7f12

57573138 has 48 divisors (see below), whose sum is σ = 138288384. Its totient is φ = 15916320.

The previous prime is 57573079. The next prime is 57573151. The reversal of 57573138 is 83137575.

It is a junction number, because it is equal to n+sod(n) for n = 57573096 and 57573105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5956 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 257573138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57573138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69144192).

57573138 is an abundant number, since it is smaller than the sum of its proper divisors (80715246).

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

57573138 is a wasteful number, since it uses less digits than its factorization.

57573138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6360 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 57573138 is about 7587.6964883949. The cubic root of 57573138 is about 386.1357098410.

The spelling of 57573138 in words is "fifty-seven million, five hundred seventy-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 6317 9114 12634 18951 37902 44219 88438 132657 195827 265314 309533 391654 587481 619066 928599 1174962 1370789 1857198 2741578 4112367 8224734 9595523 19191046 28786569 57573138