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55804032 = 273367241
BaseRepresentation
bin1101010011100…
…0000010000000
310220000010202000
43110320002000
5103241212112
65312024000
71245216654
oct324700200
9126003660
1055804032
1129555439
1216832000
13b73b14b
1475a8a64
154d747dc
hex3538080

55804032 has 128 divisors (see below), whose sum is σ = 167851200. Its totient is φ = 18247680.

The previous prime is 55803991. The next prime is 55804039. The reversal of 55804032 is 23040855.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×558040322 = 6228179974914048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55803987 and 55804005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55804039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231432 + ... + 231672.

Almost surely, 255804032 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 55804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83925600).

55804032 is an abundant number, since it is smaller than the sum of its proper divisors (112047168).

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

55804032 is a wasteful number, since it uses less digits than its factorization.

55804032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55804032 is about 7470.2096356126. The cubic root of 55804032 is about 382.1394372320.

Adding to 55804032 its reverse (23040855), we get a palindrome (78844887).

The spelling of 55804032 in words is "fifty-five million, eight hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 241 268 288 384 402 432 482 536 576 603 723 804 864 964 1072 1152 1206 1446 1608 1728 1809 1928 2144 2169 2412 2892 3216 3456 3618 3856 4288 4338 4824 5784 6432 6507 7236 7712 8576 8676 9648 11568 12864 13014 14472 15424 16147 17352 19296 23136 25728 26028 28944 30848 32294 34704 38592 46272 48441 52056 57888 64588 69408 77184 92544 96882 104112 115776 129176 138816 145323 193764 208224 231552 258352 277632 290646 387528 416448 435969 516704 581292 775056 832896 871938 1033408 1162584 1550112 1743876 2066816 2325168 3100224 3487752 4650336 6200448 6975504 9300672 13951008 18601344 27902016 55804032