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57320000 = 26541433
BaseRepresentation
bin1101101010101…
…0001001000000
310222212011020222
43122222021000
5104133220000
65404322212
71264132463
oct332521100
9128764228
1057320000
112a3a0401
1217243368
13bb4c17a
1478812da
155073a85
hex36aa240

57320000 has 70 divisors (see below), whose sum is σ = 142234158. Its totient is φ = 22912000.

The previous prime is 57319981. The next prime is 57320027. The reversal of 57320000 is 2375.

It can be written as a sum of positive squares in 5 ways, for example, as 13017664 + 44302336 = 3608^2 + 6656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39284 + ... + 40716.

Almost surely, 257320000 is an apocalyptic number.

57320000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71117079).

57320000 is an abundant number, since it is smaller than the sum of its proper divisors (84914158).

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

57320000 is an equidigital number, since it uses as much as digits as its factorization.

57320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 57320000 is about 7570.9972922991. The cubic root of 57320000 is about 385.5689569426.

Adding to 57320000 its reverse (2375), we get a palindrome (57322375).

The spelling of 57320000 in words is "fifty-seven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1433 1600 2000 2500 2866 4000 5000 5732 7165 8000 10000 11464 14330 20000 22928 28660 35825 40000 45856 57320 71650 91712 114640 143300 179125 229280 286600 358250 458560 573200 716500 895625 1146400 1433000 1791250 2292800 2866000 3582500 5732000 7165000 11464000 14330000 28660000 57320000