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56723625 = 335375
BaseRepresentation
bin1101100001100…
…0100010101001
310221201212012000
43120120202221
5104010124000
65343441213
71256100000
oct330304251
9127655160
1056723625
112a023332
1216bb6209
13b9a089a
147767c37
154ea7000
hex36188a9

56723625 has 96 divisors (see below), whose sum is σ = 122353920. Its totient is φ = 25930800.

The previous prime is 56723593. The next prime is 56723651. The reversal of 56723625 is 52632765.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56723625 is a `hidden beast` number, since 5 + 6 + 7 + 23 + 625 = 666.

It is not a de Polignac number, because 56723625 - 25 = 56723593 is a prime.

Its product of digits (75600) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 56723625.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8103372 + ... + 8103378.

It is an arithmetic number, because the mean of its divisors is an integer number (1274520).

Almost surely, 256723625 is an apocalyptic number.

It is an amenable number.

56723625 is an abundant number, since it is smaller than the sum of its proper divisors (65630295).

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

56723625 is an frugal number, since it uses more digits than its factorization.

56723625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 15 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 56723625 is about 7531.5088129803. The cubic root of 56723625 is about 384.2270995524.

The spelling of 56723625 in words is "fifty-six million, seven hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 125 135 147 175 189 225 245 315 343 375 441 525 675 735 875 945 1029 1125 1225 1323 1575 1715 2205 2401 2625 3087 3375 3675 4725 5145 6125 6615 7203 7875 8575 9261 11025 12005 15435 16807 18375 21609 23625 25725 33075 36015 42875 46305 50421 55125 60025 64827 77175 84035 108045 128625 151263 165375 180075 231525 252105 300125 324135 385875 420175 453789 540225 756315 900375 1157625 1260525 1620675 2100875 2268945 2701125 3781575 6302625 8103375 11344725 18907875 56723625