Search a number
-
+
55627488 = 2532741673
BaseRepresentation
bin1101010000110…
…0111011100000
310212200011120100
43110030323200
5103220034423
65304142400
71243553160
oct324147340
9125604510
1055627488
1129444834
1216767a00
13b6a8997
1475605a0
154d3c343
hex350cee0

55627488 has 144 divisors (see below), whose sum is σ = 185474016. Its totient is φ = 15482880.

The previous prime is 55627483. The next prime is 55627493. The reversal of 55627488 is 88472655.

55627488 is a `hidden beast` number, since 5 + 562 + 7 + 4 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (55627483) and next prime (55627493).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55627483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82320 + ... + 82992.

It is an arithmetic number, because the mean of its divisors is an integer number (1288014).

Almost surely, 255627488 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 55627488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92737008).

55627488 is an abundant number, since it is smaller than the sum of its proper divisors (129846528).

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

55627488 is a wasteful number, since it uses less digits than its factorization.

55627488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 726 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 55627488 is about 7458.3837391220. The cubic root of 55627488 is about 381.7360273460.

The spelling of 55627488 in words is "fifty-five million, six hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 673 738 861 984 1008 1148 1312 1346 1476 1722 1968 2016 2019 2296 2583 2692 2952 3444 3936 4038 4592 4711 5166 5384 5904 6057 6888 8076 9184 9422 10332 10768 11808 12114 13776 14133 16152 18844 20664 21536 24228 27552 27593 28266 32304 37688 41328 42399 48456 55186 56532 64608 75376 82656 82779 84798 96912 110372 113064 150752 165558 169596 193151 193824 220744 226128 248337 331116 339192 386302 441488 452256 496674 579453 662232 678384 772604 882976 993348 1158906 1324464 1356768 1545208 1738359 1986696 2317812 2648928 3090416 3476718 3973392 4635624 6180832 6953436 7946784 9271248 13906872 18542496 27813744 55627488