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57427700 = 225211173783
BaseRepresentation
bin1101101100010…
…0011011110100
311000001121222212
43123010123310
5104200141300
65410512552
71265061461
oct333043364
9130047885
1057427700
112a464310
1217295758
13bb891b5
1478ac668
155095935
hex36c46f4

57427700 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 18892800.

The previous prime is 57427697. The next prime is 57427703. The reversal of 57427700 is 772475.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57427697) and next prime (57427703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691859 + ... + 691941.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 257427700 is an apocalyptic number.

57427700 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 57427700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

57427700 is an abundant number, since it is smaller than the sum of its proper divisors (92187724).

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

57427700 is a wasteful number, since it uses less digits than its factorization.

57427700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 57427700 is about 7578.1066236891. The cubic root of 57427700 is about 385.8102909496.

The spelling of 57427700 in words is "fifty-seven million, four hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 37 44 50 55 68 74 83 85 100 110 148 166 170 185 187 220 275 332 340 370 374 407 415 425 550 629 740 748 814 830 850 913 925 935 1100 1258 1411 1628 1660 1700 1826 1850 1870 2035 2075 2516 2822 3071 3145 3652 3700 3740 4070 4150 4565 4675 5644 6142 6290 6919 7055 8140 8300 9130 9350 10175 12284 12580 13838 14110 15355 15521 15725 18260 18700 20350 22825 27676 28220 30710 31042 31450 33781 34595 35275 40700 45650 52207 61420 62084 62900 67562 69190 70550 76775 77605 91300 104414 135124 138380 141100 153550 155210 168905 172975 208828 261035 307100 310420 337810 345950 388025 522070 574277 675620 691900 776050 844525 1044140 1148554 1305175 1552100 1689050 2297108 2610350 2871385 3378100 5220700 5742770 11485540 14356925 28713850 57427700