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57825450 = 232522337151
BaseRepresentation
bin1101110010010…
…1100010101010
311000210211121100
43130211202222
5104300403300
65423222230
71301336214
oct334454252
9130724540
1057825450
112a706131
1217447976
13bc98257
1479735b4
155123700
hex37258aa

57825450 has 144 divisors (see below), whose sum is σ = 167596416. Its totient is φ = 14256000.

The previous prime is 57825437. The next prime is 57825451. The reversal of 57825450 is 5452875.

It is a happy number.

57825450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57825451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382875 + ... + 383025.

It is an arithmetic number, because the mean of its divisors is an integer number (1163864).

Almost surely, 257825450 is an apocalyptic number.

57825450 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 57825450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).

57825450 is an abundant number, since it is smaller than the sum of its proper divisors (109770966).

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

57825450 is a wasteful number, since it uses less digits than its factorization.

57825450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 57825450 is about 7604.3047019435. The cubic root of 57825450 is about 386.6989626545.

The spelling of 57825450 in words is "fifty-seven million, eight hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 37 45 46 50 69 74 75 90 111 115 138 150 151 185 207 222 225 230 302 333 345 370 414 450 453 555 575 666 690 755 851 906 925 1035 1110 1150 1359 1510 1665 1702 1725 1850 2070 2265 2553 2718 2775 3330 3450 3473 3775 4255 4530 5106 5175 5550 5587 6795 6946 7550 7659 8325 8510 10350 10419 11174 11325 12765 13590 15318 16650 16761 17365 20838 21275 22650 25530 27935 31257 33522 33975 34730 38295 42550 50283 52095 55870 62514 63825 67950 76590 83805 86825 100566 104190 127650 128501 139675 156285 167610 173650 191475 251415 257002 260475 279350 312570 382950 385503 419025 502830 520950 642505 771006 781425 838050 1156509 1257075 1285010 1562850 1927515 2313018 2514150 3212525 3855030 5782545 6425050 9637575 11565090 19275150 28912725 57825450