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55824132 = 223721367109
BaseRepresentation
bin1101010011110…
…0111100000100
310220001011022110
43110330330010
5103242333012
65312301020
71245332400
oct324747404
9126034273
1055824132
1129569551
1216841770
13b747340
1475b2100
154d7a73c
hex353cf04

55824132 has 144 divisors (see below), whose sum is σ = 167133120. Its totient is φ = 14370048.

The previous prime is 55824127. The next prime is 55824133. The reversal of 55824132 is 23142855.

55824132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55824132.

It is not an unprimeable number, because it can be changed into a prime (55824133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512094 + ... + 512202.

Almost surely, 255824132 is an apocalyptic number.

55824132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55824132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566560).

55824132 is an abundant number, since it is smaller than the sum of its proper divisors (111308988).

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

55824132 is a wasteful number, since it uses less digits than its factorization.

55824132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 55824132 is about 7471.5548582608. The cubic root of 55824132 is about 382.1853125352.

Adding to 55824132 its reverse (23142855), we get a palindrome (78966987).

The spelling of 55824132 in words is "fifty-five million, eight hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 67 78 84 91 98 109 134 147 156 182 196 201 218 268 273 294 327 364 402 436 469 546 588 637 654 763 804 871 938 1092 1274 1308 1407 1417 1526 1742 1876 1911 2289 2548 2613 2814 2834 3052 3283 3484 3822 4251 4578 5226 5341 5628 5668 6097 6566 7303 7644 8502 9156 9849 9919 10452 10682 12194 13132 14606 16023 17004 18291 19698 19838 21364 21909 24388 29212 29757 32046 36582 39396 39676 42679 43818 51121 59514 64092 69433 73164 85358 87636 94939 102242 119028 128037 138866 153363 170716 189878 204484 208299 256074 277732 284817 306726 357847 379756 416598 512148 569634 613452 664573 715694 833196 1073541 1139268 1329146 1431388 1993719 2147082 2658292 3987438 4294164 4652011 7974876 9304022 13956033 18608044 27912066 55824132