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57375450 = 232521167173
BaseRepresentation
bin1101101011011…
…1101011011010
310222221222022200
43122313223122
5104142003300
65405431030
71264453236
oct332675332
9128858280
1057375450
112a429030
121726b476
13bb6b492
1478975c6
155085200
hex36b7ada

57375450 has 144 divisors (see below), whose sum is σ = 171658656. Its totient is φ = 13622400.

The previous prime is 57375449. The next prime is 57375473. The reversal of 57375450 is 5457375.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 331564 + ... + 331736.

It is an arithmetic number, because the mean of its divisors is an integer number (1192074).

Almost surely, 257375450 is an apocalyptic number.

57375450 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 57375450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85829328).

57375450 is an abundant number, since it is smaller than the sum of its proper divisors (114283206).

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

57375450 is a wasteful number, since it uses less digits than its factorization.

57375450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

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

The square root of 57375450 is about 7574.6584081396. The cubic root of 57375450 is about 385.6932469418.

The spelling of 57375450 in words is "fifty-seven million, three hundred seventy-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 67 75 90 99 110 134 150 165 173 198 201 225 275 330 335 346 402 450 495 519 550 603 670 737 825 865 990 1005 1038 1206 1474 1557 1650 1675 1730 1903 2010 2211 2475 2595 3015 3114 3350 3685 3806 4325 4422 4950 5025 5190 5709 6030 6633 7370 7785 8650 9515 10050 11055 11418 11591 12975 13266 15075 15570 17127 18425 19030 22110 23182 25950 28545 30150 33165 34254 34773 36850 38925 47575 55275 57090 57955 66330 69546 77850 85635 95150 104319 110550 115910 127501 142725 165825 171270 173865 208638 255002 285450 289775 331650 347730 382503 428175 521595 579550 637505 765006 856350 869325 1043190 1147509 1275010 1738650 1912515 2295018 2607975 3187525 3825030 5215950 5737545 6375050 9562575 11475090 19125150 28687725 57375450