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55000032 = 2531767503
BaseRepresentation
bin1101000111001…
…1101111100000
310211111021212020
43101303233200
5103040000112
65242501440
71235330643
oct321635740
9124437766
1055000032
112905637a
1216504880
13b5191c9
147439a5a
154c6648c
hex3473be0

55000032 has 96 divisors (see below), whose sum is σ = 155457792. Its totient is φ = 16963584.

The previous prime is 55000031. The next prime is 55000069. The reversal of 55000032 is 23000055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54999975 and 55000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109093 + ... + 109595.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352).

Almost surely, 255000032 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 55000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896).

55000032 is an abundant number, since it is smaller than the sum of its proper divisors (100457760).

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

55000032 is a wasteful number, since it uses less digits than its factorization.

55000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 55000032 is about 7416.2006445349. The cubic root of 55000032 is about 380.2953198304.

Adding to 55000032 its reverse (23000055), we get a palindrome (78000087).

The spelling of 55000032 in words is "fifty-five million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 503 536 544 804 816 1006 1072 1139 1509 1608 1632 2012 2144 2278 3018 3216 3417 4024 4556 6036 6432 6834 8048 8551 9112 12072 13668 16096 17102 18224 24144 25653 27336 33701 34204 36448 48288 51306 54672 67402 68408 101103 102612 109344 134804 136816 202206 205224 269608 273632 404412 410448 539216 572917 808824 820896 1078432 1145834 1617648 1718751 2291668 3235296 3437502 4583336 6875004 9166672 13750008 18333344 27500016 55000032