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55369008 = 243647101
BaseRepresentation
bin1101001100110…
…1110100110000
310212012001000000
43103031310300
5103133302013
65254430000
71241425452
oct323156460
9125161000
1055369008
1129288612
1216662300
13b618136
1474d42d2
154cda973
hex34cdd30

55369008 has 140 divisors (see below), whose sum is σ = 165891168. Its totient is φ = 17884800.

The previous prime is 55368997. The next prime is 55369019. The reversal of 55369008 is 80096355.

55369008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55368997) and next prime (55369019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 548158 + ... + 548258.

Almost surely, 255369008 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 55369008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82945584).

55369008 is an abundant number, since it is smaller than the sum of its proper divisors (110522160).

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

55369008 is a wasteful number, since it uses less digits than its factorization.

55369008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55369008 is about 7441.0354118227. The cubic root of 55369008 is about 381.1438479706.

The spelling of 55369008 in words is "fifty-five million, three hundred sixty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 101 108 141 144 162 188 202 216 243 282 303 324 376 404 423 432 486 564 606 648 729 752 808 846 909 972 1128 1212 1269 1296 1458 1616 1692 1818 1944 2256 2424 2538 2727 2916 3384 3636 3807 3888 4747 4848 5076 5454 5832 6768 7272 7614 8181 9494 10152 10908 11421 11664 14241 14544 15228 16362 18988 20304 21816 22842 24543 28482 30456 32724 34263 37976 42723 43632 45684 49086 56964 60912 65448 68526 73629 75952 85446 91368 98172 113928 128169 130896 137052 147258 170892 182736 196344 227856 256338 274104 294516 341784 384507 392688 512676 548208 589032 683568 769014 1025352 1153521 1178064 1538028 2050704 2307042 3076056 3460563 4614084 6152112 6921126 9228168 13842252 18456336 27684504 55369008