Search a number
-
+
55683576 = 233213411451
BaseRepresentation
bin1101010001101…
…0100111111000
310212210000111200
43110122213320
5103223333301
65305254200
71244205534
oct324324770
9125700450
1055683576
1129482993
1216794360
13b6c8380
147576bc4
154d4dc86
hex351a9f8

55683576 has 96 divisors (see below), whose sum is σ = 166486320. Its totient is φ = 16704000.

The previous prime is 55683569. The next prime is 55683577. The reversal of 55683576 is 67538655.

It is a super-2 number, since 2×556835762 = 6201321272295552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55683577) 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, 37651 + ... + 39101.

Almost surely, 255683576 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 55683576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160).

55683576 is an abundant number, since it is smaller than the sum of its proper divisors (110802744).

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

55683576 is a wasteful number, since it uses less digits than its factorization.

55683576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1510 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 55683576 is about 7462.1428557754. The cubic root of 55683576 is about 381.8642829925.

The spelling of 55683576 in words is "fifty-five million, six hundred eighty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1451 1476 1599 2132 2902 2952 3198 4264 4353 4797 5804 6396 8706 9594 11608 12792 13059 17412 18863 19188 26118 34824 37726 38376 52236 56589 59491 75452 104472 113178 118982 150904 169767 178473 226356 237964 339534 356946 452712 475928 535419 679068 713892 773383 1070838 1358136 1427784 1546766 2141676 2320149 3093532 4283352 4640298 6187064 6960447 9280596 13920894 18561192 27841788 55683576