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55563984 = 24327199277
BaseRepresentation
bin1101001111110…
…1011011010000
310212112221110100
43103331123100
5103211021414
65302532400
71243200060
oct323753320
9125487410
1055563984
1129401053
1216737100
13b685ac8
1475453a0
154d28609
hex34fd6d0

55563984 has 120 divisors (see below), whose sum is σ = 179254400. Its totient is φ = 15738624.

The previous prime is 55563983. The next prime is 55564031. The reversal of 55563984 is 48936555.

55563984 is a `hidden beast` number, since 5 + 5 + 5 + 639 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55563983) 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, 200454 + ... + 200730.

Almost surely, 255563984 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 55563984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89627200).

55563984 is an abundant number, since it is smaller than the sum of its proper divisors (123690416).

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

55563984 is a wasteful number, since it uses less digits than its factorization.

55563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55563984 is about 7454.1253007982. The cubic root of 55563984 is about 381.5907095295.

The spelling of 55563984 in words is "fifty-five million, five hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 252 277 336 398 504 554 597 796 831 1008 1108 1194 1393 1592 1662 1791 1939 2216 2388 2493 2786 3184 3324 3582 3878 4179 4432 4776 4986 5572 5817 6648 7164 7756 8358 9552 9972 11144 11634 12537 13296 14328 15512 16716 17451 19944 22288 23268 25074 28656 31024 33432 34902 39888 46536 50148 55123 66864 69804 93072 100296 110246 139608 165369 200592 220492 279216 330738 385861 440984 496107 661476 771722 881968 992214 1157583 1322952 1543444 1984428 2315166 2645904 3086888 3472749 3968856 4630332 6173776 6945498 7937712 9260664 13890996 18521328 27781992 55563984