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55551132 = 223271331547
BaseRepresentation
bin1101001111101…
…0010010011100
310212112021211100
43103322102130
5103210114012
65302353100
71243114440
oct323722234
9125467740
1055551132
11293a242a
121672b790
13b67ccc0
147540820
154d248dc
hex34fa49c

55551132 has 144 divisors (see below), whose sum is σ = 178726912. Its totient is φ = 14152320.

The previous prime is 55551127. The next prime is 55551137. The reversal of 55551132 is 23115555.

It is an interprime number because it is at equal distance from previous prime (55551127) and next prime (55551137).

It is a junction number, because it is equal to n+sod(n) for n = 55551096 and 55551105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55551137) 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, 101283 + ... + 101829.

Almost surely, 255551132 is an apocalyptic number.

55551132 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 55551132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89363456).

55551132 is an abundant number, since it is smaller than the sum of its proper divisors (123175780).

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

55551132 is a wasteful number, since it uses less digits than its factorization.

55551132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its digits is 3750, while the sum is 27.

The square root of 55551132 is about 7453.2631779644. The cubic root of 55551132 is about 381.5612865015.

Adding to 55551132 its reverse (23115555), we get a palindrome (78666687).

The spelling of 55551132 in words is "fifty-five million, five hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 547 558 651 806 819 868 1092 1094 1116 1209 1302 1612 1638 1641 1953 2188 2418 2604 2821 3276 3282 3627 3829 3906 4836 4923 5642 6564 7111 7254 7658 7812 8463 9846 11284 11487 14222 14508 15316 16926 16957 19692 21333 22974 25389 28444 33852 33914 34461 42666 45948 49777 50778 50871 63999 67828 68922 85332 99554 101556 101742 118699 127998 137844 149331 152613 199108 203484 220441 237398 255996 298662 305226 356097 440882 447993 474796 597324 610452 661323 712194 881764 895986 1068291 1322646 1424388 1543087 1791972 1983969 2136582 2645292 3086174 3967938 4273164 4629261 6172348 7935876 9258522 13887783 18517044 27775566 55551132