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55577025 = 325272712
BaseRepresentation
bin1101010000000…
…0100111000001
310212120121100100
43110000213001
5103211431100
65303113013
71243253100
oct324004701
9125517310
1055577025
112940a929
1216742769
13b68ba1a
14754a037
154d2c400
hex35009c1

55577025 has 81 divisors (see below), whose sum is σ = 117450723. Its totient is φ = 25048800.

The previous prime is 55576999. The next prime is 55577047. The reversal of 55577025 is 52077555.

Multipling 55577025 by its sum of digits (36), we get a square (2000772900 = 447302).

The square root of 55577025 is 7455.

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

It can be written as a sum of positive squares in only one way, i.e., 20007729 + 35569296 = 4473^2 + 5964^2 .

It is not a de Polignac number, because 55577025 - 211 = 55574977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 782740 + ... + 782810.

Almost surely, 255577025 is an apocalyptic number.

55577025 is the 7455-th square number.

55577025 is the 3728-th centered octagonal number.

It is an amenable number.

55577025 is an abundant number, since it is smaller than the sum of its proper divisors (61873698).

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

55577025 is a wasteful number, since it uses less digits than its factorization.

55577025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The cubic root of 55577025 is about 381.6205606118.

The spelling of 55577025 in words is "fifty-five million, five hundred seventy-seven thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 71 75 105 147 175 213 225 245 315 355 441 497 525 639 735 1065 1225 1491 1575 1775 2205 2485 3195 3479 3675 4473 5041 5325 7455 10437 11025 12425 15123 15975 17395 22365 25205 31311 35287 37275 45369 52185 75615 86975 105861 111825 126025 156555 176435 226845 247009 260925 317583 378075 529305 741027 782775 882175 1134225 1235045 1587915 2223081 2646525 3705135 6175225 7939575 11115405 18525675 55577025