Search a number
-
+
55459248 = 24313314761
BaseRepresentation
bin1101001110001…
…1110110110000
310212100121210020
43103203312300
5103144143443
65300403440
71242252525
oct323436660
9125317706
1055459248
112933a399
12166a6580
13b64a230
14751914c
154d07583
hex34e3db0

55459248 has 160 divisors (see below), whose sum is σ = 165322752. Its totient is φ = 15897600.

The previous prime is 55459237. The next prime is 55459289. The reversal of 55459248 is 84295455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909138 + ... + 909198.

Almost surely, 255459248 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 55459248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661376).

55459248 is an abundant number, since it is smaller than the sum of its proper divisors (109863504).

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

55459248 is a wasteful number, since it uses less digits than its factorization.

55459248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 55459248 is about 7447.0966154603. The cubic root of 55459248 is about 381.3507973919.

The spelling of 55459248 in words is "fifty-five million, four hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 47 48 52 61 62 78 93 94 104 122 124 141 156 183 186 188 208 244 248 282 312 366 372 376 403 488 496 564 611 624 732 744 752 793 806 976 1128 1209 1222 1457 1464 1488 1586 1612 1833 1891 2256 2379 2418 2444 2867 2914 2928 3172 3224 3666 3782 4371 4758 4836 4888 5673 5734 5828 6344 6448 7332 7564 8601 8742 9516 9672 9776 11346 11468 11656 12688 14664 15128 17202 17484 18941 19032 19344 22692 22936 23312 24583 29328 30256 34404 34968 37271 37882 38064 45384 45872 49166 56823 68808 69936 73749 74542 75764 88877 90768 98332 111813 113646 137616 147498 149084 151528 177754 196664 223626 227292 266631 294996 298168 303056 355508 393328 447252 454584 533262 589992 596336 711016 894504 909168 1066524 1155401 1179984 1422032 1789008 2133048 2310802 3466203 4266096 4621604 6932406 9243208 13864812 18486416 27729624 55459248