Search a number
-
+
55032384 = 2631171367
BaseRepresentation
bin1101000111101…
…1101001000000
310211112221020110
43101323221000
5103042014014
65243311320
71235524161
oct321735100
9124487213
1055032384
1129078710
121651b540
13b52ab54
147447768
154c70d59
hex347ba40

55032384 has 112 divisors (see below), whose sum is σ = 161519616. Its totient is φ = 16396800.

The previous prime is 55032377. The next prime is 55032407. The reversal of 55032384 is 48323055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149769 + ... + 150135.

Almost surely, 255032384 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 55032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80759808).

55032384 is an abundant number, since it is smaller than the sum of its proper divisors (106487232).

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

55032384 is a wasteful number, since it uses less digits than its factorization.

55032384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 55032384 is about 7418.3814946388. The cubic root of 55032384 is about 380.3698707120.

It can be divided in two parts, 5503 and 2384, that added together give a palindrome (7887).

The spelling of 55032384 in words is "fifty-five million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 367 426 528 568 704 734 781 852 1056 1101 1136 1468 1562 1704 2112 2202 2272 2343 2936 3124 3408 4037 4404 4544 4686 5872 6248 6816 8074 8808 9372 11744 12111 12496 13632 16148 17616 18744 23488 24222 24992 26057 32296 35232 37488 48444 49984 52114 64592 70464 74976 78171 96888 104228 129184 149952 156342 193776 208456 258368 286627 312684 387552 416912 573254 625368 775104 833824 859881 1146508 1250736 1667648 1719762 2293016 2501472 3439524 4586032 5002944 6879048 9172064 13758096 18344128 27516192 55032384