Search a number
-
+
42500000 = 255717
BaseRepresentation
bin1010001000011…
…1111110100000
32221222020001002
42202013332200
541340000000
64114531132
71024146464
oct242077640
987866032
1042500000
1121a98974
1212296aa8
138a6073a
1459044a4
153ae78d5
hex2887fa0

42500000 has 96 divisors (see below), whose sum is σ = 110741904. Its totient is φ = 16000000.

The previous prime is 42499999. The next prime is 42500023. The reversal of 42500000 is 524.

It can be written as a sum of positive squares in 8 ways, for example, as 34904464 + 7595536 = 5908^2 + 2756^2 .

It is a sliding number, since 42500000 = 2500000 + 40000000 and 1/2500000 + 1/40000000 = 0.00000042500000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499992 + ... + 2500008.

Almost surely, 242500000 is an apocalyptic number.

42500000 is a gapful number since it is divisible by the number (40) 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 42500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55370952).

42500000 is an abundant number, since it is smaller than the sum of its proper divisors (68241904).

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

42500000 is an frugal number, since it uses more digits than its factorization.

42500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 42500000 is about 6519.2024052026. The cubic root of 42500000 is about 348.9766023454.

Adding to 42500000 its reverse (524), we get a palindrome (42500524).

It can be divided in two parts, 4 and 2500000, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 42500000 in words is "forty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 15625 17000 20000 21250 25000 31250 34000 42500 50000 53125 62500 68000 78125 85000 100000 106250 125000 156250 170000 212500 250000 265625 312500 340000 425000 500000 531250 625000 850000 1062500 1250000 1328125 1700000 2125000 2500000 2656250 4250000 5312500 8500000 10625000 21250000 42500000