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57354141 = 313171929157
BaseRepresentation
bin1101101011001…
…0011110011101
310222220220002110
43122302132131
5104140313031
65405144233
71264334145
oct332623635
9128826073
1057354141
112a414019
121725b079
13bb61880
14788d925
15507dc46
hex36b279d

57354141 has 64 divisors (see below), whose sum is σ = 95558400. Its totient is φ = 30191616.

The previous prime is 57354139. The next prime is 57354149. The reversal of 57354141 is 14145375.

It is not a de Polignac number, because 57354141 - 21 = 57354139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57354099 and 57354108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57354149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365235 + ... + 365391.

It is an arithmetic number, because the mean of its divisors is an integer number (1493100).

Almost surely, 257354141 is an apocalyptic number.

57354141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57354141 is a deficient number, since it is larger than the sum of its proper divisors (38204259).

57354141 is a wasteful number, since it uses less digits than its factorization.

57354141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its digits is 8400, while the sum is 30.

The square root of 57354141 is about 7573.2516794307. The cubic root of 57354141 is about 385.6454927480.

The spelling of 57354141 in words is "fifty-seven million, three hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 13 17 19 29 39 51 57 87 157 221 247 323 377 471 493 551 663 741 969 1131 1479 1653 2041 2669 2983 4199 4553 6123 6409 7163 8007 8949 9367 12597 13659 19227 21489 28101 34697 38779 50711 59189 77401 86507 104091 116337 121771 152133 177567 232203 259521 365313 659243 1006213 1124591 1470619 1977729 3018639 3373773 4411857 19118047 57354141