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42555700 = 22521123517
BaseRepresentation
bin1010001001010…
…1100100110100
32222002001110001
42202111210310
541343240300
64120041044
71024501045
oct242254464
988061401
1042555700
1122026800
1212303184
138a7cbb5
14591a8cc
153b0916a
hex2895934

42555700 has 54 divisors (see below), whose sum is σ = 101532998. Its totient is φ = 15470400.

The previous prime is 42555659. The next prime is 42555701. The reversal of 42555700 is 755524.

It can be written as a sum of positive squares in 3 ways, for example, as 11329956 + 31225744 = 3366^2 + 5588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10342 + ... + 13858.

Almost surely, 242555700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42555700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766499).

42555700 is an abundant number, since it is smaller than the sum of its proper divisors (58977298).

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

42555700 is a wasteful number, since it uses less digits than its factorization.

42555700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 42555700 is about 6523.4730014004. The cubic root of 42555700 is about 349.1289906685.

The spelling of 42555700 in words is "forty-two million, five hundred fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3517 6050 7034 12100 14068 17585 35170 38687 70340 77374 87925 154748 175850 193435 351700 386870 425557 773740 851114 967175 1702228 1934350 2127785 3868700 4255570 8511140 10638925 21277850 42555700