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55204632 = 23337291259
BaseRepresentation
bin1101001010010…
…1101100011000
310211212200112000
43102211230120
5103113022012
65251121000
71240142310
oct322455430
9124780460
1055204632
112918606a
12165a3160
13b58b382
147490440
154ca6ddc
hex34a5b18

55204632 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 15216768.

The previous prime is 55204631. The next prime is 55204637. The reversal of 55204632 is 23640255.

55204632 is a `hidden beast` number, since 5 + 5 + 20 + 4 + 632 = 666.

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 = 55204596 and 55204605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55204631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43219 + ... + 44477.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 255204632 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 55204632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

55204632 is an abundant number, since it is smaller than the sum of its proper divisors (126235368).

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

55204632 is a wasteful number, since it uses less digits than its factorization.

55204632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55204632 is about 7429.9819649848. The cubic root of 55204632 is about 380.7663022167.

Adding to 55204632 its reverse (23640255), we get a palindrome (78844887).

The spelling of 55204632 in words is "fifty-five million, two hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1259 1512 1566 1624 1827 2088 2436 2518 3132 3654 3777 4872 5036 5481 6264 7308 7554 8813 10072 10962 11331 14616 15108 17626 21924 22662 26439 30216 33993 35252 36511 43848 45324 52878 67986 70504 73022 79317 90648 105756 109533 135972 146044 158634 211512 219066 237951 255577 271944 292088 317268 328599 438132 475902 511154 634536 657198 766731 876264 951804 985797 1022308 1314396 1533462 1903608 1971594 2044616 2300193 2628792 3066924 3943188 4600386 6133848 6900579 7886376 9200772 13801158 18401544 27602316 55204632