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64625000 = 23561147
BaseRepresentation
bin1111011010000…
…1100101101000
311111121021211112
43312201211220
5113021000000
610225045452
71413206036
oct366414550
9144537745
1064625000
113352a7a0
1219786888
131050915b
148823556
155a18235
hex3da1968

64625000 has 112 divisors (see below), whose sum is σ = 168747840. Its totient is φ = 23000000.

The previous prime is 64624997. The next prime is 64625003. The reversal of 64625000 is 52646.

64625000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64624997) and next prime (64625003).

It is not an unprimeable number, because it can be changed into a prime (64625003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1374977 + ... + 1375023.

Almost surely, 264625000 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 64625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84373920).

64625000 is an abundant number, since it is smaller than the sum of its proper divisors (104122840).

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

64625000 is an equidigital number, since it uses as much as digits as its factorization.

64625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 64625000 is about 8038.9675954068. The cubic root of 64625000 is about 401.2978676278.

Adding to 64625000 its reverse (52646), we get a palindrome (64677646).

The spelling of 64625000 in words is "sixty-four million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 625 940 1000 1034 1100 1175 1250 1375 1880 2068 2200 2350 2500 2585 2750 3125 4136 4700 5000 5170 5500 5875 6250 6875 9400 10340 11000 11750 12500 12925 13750 15625 20680 23500 25000 25850 27500 29375 31250 34375 47000 51700 55000 58750 62500 64625 68750 103400 117500 125000 129250 137500 146875 171875 235000 258500 275000 293750 323125 343750 517000 587500 646250 687500 734375 1175000 1292500 1375000 1468750 1615625 2585000 2937500 3231250 5875000 6462500 8078125 12925000 16156250 32312500 64625000