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55634436 = 22321113101107
BaseRepresentation
bin1101010000111…
…0101000000100
310212200112002200
43110032220010
5103220300221
65304234500
71243612344
oct324165004
9125615080
1055634436
1129449a80
121676ba30
13b6abbb0
147562d24
154d3e426
hex350ea04

55634436 has 144 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 15264000.

The previous prime is 55634399. The next prime is 55634437. The reversal of 55634436 is 63443655.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55634436.

It is not an unprimeable number, because it can be changed into a prime (55634437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519895 + ... + 520001.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 255634436 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 55634436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

55634436 is an abundant number, since it is smaller than the sum of its proper divisors (112778172).

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

55634436 is a wasteful number, since it uses less digits than its factorization.

55634436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 55634436 is about 7458.8495091401. The cubic root of 55634436 is about 381.7519199176.

It can be divided in two parts, 5563 and 4436, that added together give a palindrome (9999).

The spelling of 55634436 in words is "fifty-five million, six hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 101 107 117 132 143 156 198 202 214 234 286 303 321 396 404 428 429 468 572 606 642 858 909 963 1111 1177 1212 1284 1287 1313 1391 1716 1818 1926 2222 2354 2574 2626 2782 3333 3531 3636 3852 3939 4173 4444 4708 5148 5252 5564 6666 7062 7878 8346 9999 10593 10807 11817 12519 13332 14124 14443 15301 15756 16692 19998 21186 21614 23634 25038 28886 30602 32421 39996 42372 43228 43329 45903 47268 50076 57772 61204 64842 86658 91806 97263 118877 129684 129987 137709 140491 173316 183612 194526 237754 259974 275418 280982 356631 389052 421473 475508 519948 550836 561964 713262 842946 1069893 1264419 1426524 1545401 1685892 2139786 2528838 3090802 4279572 4636203 5057676 6181604 9272406 13908609 18544812 27817218 55634436