Search a number
-
+
56625000 = 23356151
BaseRepresentation
bin1101100000000…
…0011101101000
310221112211220020
43120000131220
5103444000000
65341400440
71255206315
oct330003550
9127484806
1056625000
1129a66223
1216b69120
13b967a23
14773dd0c
154e87ba0
hex3600768

56625000 has 112 divisors (see below), whose sum is σ = 178122720. Its totient is φ = 15000000.

The previous prime is 56624993. The next prime is 56625001. The reversal of 56625000 is 52665.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56625001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374925 + ... + 375075.

Almost surely, 256625000 is an apocalyptic number.

56625000 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 56625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89061360).

56625000 is an abundant number, since it is smaller than the sum of its proper divisors (121497720).

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

56625000 is an equidigital number, since it uses as much as digits as its factorization.

56625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56625000 is about 7524.9584716462. The cubic root of 56625000 is about 384.0042859765.

Adding to 56625000 its reverse (52665), we get a palindrome (56677665).

The spelling of 56625000 in words is "fifty-six million, six hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 625 750 755 906 1000 1208 1250 1500 1510 1812 1875 2265 2500 3000 3020 3125 3624 3750 3775 4530 5000 6040 6250 7500 7550 9060 9375 11325 12500 15000 15100 15625 18120 18750 18875 22650 25000 30200 31250 37500 37750 45300 46875 56625 62500 75000 75500 90600 93750 94375 113250 125000 151000 187500 188750 226500 283125 375000 377500 453000 471875 566250 755000 943750 1132500 1415625 1887500 2265000 2359375 2831250 3775000 4718750 5662500 7078125 9437500 11325000 14156250 18875000 28312500 56625000