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57354750 = 2335329293
BaseRepresentation
bin1101101011001…
…0100111111110
310222220220221000
43122302213332
5104140323000
65405151130
71264336005
oct332624776
9128826830
1057354750
112a414522
121725b4a6
13bb61c2b
14788dc3c
15507e000
hex36b29fe

57354750 has 128 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 14716800.

The previous prime is 57354727. The next prime is 57354751. The reversal of 57354750 is 5745375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57354751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195604 + ... + 195896.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 257354750 is an apocalyptic number.

57354750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57354750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

57354750 is an abundant number, since it is smaller than the sum of its proper divisors (107755650).

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

57354750 is a wasteful number, since it uses less digits than its factorization.

57354750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 57354750 is about 7573.2918866237. The cubic root of 57354750 is about 385.6468577019.

The spelling of 57354750 in words is "fifty-seven million, three hundred fifty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 125 135 145 150 174 225 250 261 270 290 293 375 435 450 522 586 675 725 750 783 870 879 1125 1305 1350 1450 1465 1566 1758 2175 2250 2610 2637 2930 3375 3625 3915 4350 4395 5274 6525 6750 7250 7325 7830 7911 8497 8790 10875 13050 13185 14650 15822 16994 19575 21750 21975 25491 26370 32625 36625 39150 39555 42485 43950 50982 65250 65925 73250 76473 79110 84970 97875 109875 127455 131850 152946 195750 197775 212425 219750 229419 254910 329625 382365 395550 424850 458838 637275 659250 764730 988875 1062125 1147095 1274550 1911825 1977750 2124250 2294190 3186375 3823650 5735475 6372750 9559125 11470950 19118250 28677375 57354750