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56250000 = 243258
BaseRepresentation
bin1101011010010…
…0111010010000
310220211210111100
43112210322100
5103400000000
65325344400
71252055112
oct326447220
9126753440
1056250000
112982a504
1216a08100
13b866131
1476833b2
154e11a00
hex35a4e90

56250000 has 135 divisors (see below), whose sum is σ = 196777243. Its totient is φ = 15000000.

The previous prime is 56249981. The next prime is 56250011. The reversal of 56250000 is 5265.

The square root of 56250000 is 7500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39992976 + 16257024 = 6324^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11249998 + ... + 11250002.

Almost surely, 256250000 is an apocalyptic number.

56250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56250000 is the 7500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56250000

56250000 is an abundant number, since it is smaller than the sum of its proper divisors (140527243).

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

56250000 is an frugal number, since it uses more digits than its factorization.

56250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 56250000 is about 383.1547161968.

Adding to 56250000 its reverse (5265), we get a palindrome (56255265).

The spelling of 56250000 in words is "fifty-six million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3125 3600 3750 4500 5000 5625 6000 6250 7500 9000 9375 10000 11250 12500 15000 15625 18000 18750 22500 25000 28125 30000 31250 37500 45000 46875 50000 56250 62500 75000 78125 90000 93750 112500 125000 140625 150000 156250 187500 225000 234375 250000 281250 312500 375000 390625 450000 468750 562500 625000 703125 750000 781250 937500 1125000 1171875 1250000 1406250 1562500 1875000 2250000 2343750 2812500 3125000 3515625 3750000 4687500 5625000 6250000 7031250 9375000 11250000 14062500 18750000 28125000 56250000