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55349568 = 26353559
BaseRepresentation
bin1101001100100…
…1000101000000
310212011001100000
43103021011000
5103132141233
65254200000
71241315001
oct323110500
9125131300
1055349568
1129274a4a
1216653000
13b60c331
1474cb1a8
154cd4d13
hex34c9140

55349568 has 84 divisors (see below), whose sum is σ = 164571680. Its totient is φ = 18444672.

The previous prime is 55349551. The next prime is 55349573. The reversal of 55349568 is 86594355.

55349568 is a `hidden beast` number, since 55 + 34 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13773 + ... + 17331.

Almost surely, 255349568 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 55349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82285840).

55349568 is an abundant number, since it is smaller than the sum of its proper divisors (109222112).

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

55349568 is an equidigital number, since it uses as much as digits as its factorization.

55349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3564 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55349568 is about 7439.7290273235. The cubic root of 55349568 is about 381.0992363489.

The spelling of 55349568 in words is "fifty-five million, three hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3559 3888 5184 7118 7776 10677 14236 15552 21354 28472 32031 42708 56944 64062 85416 96093 113888 128124 170832 192186 227776 256248 288279 341664 384372 512496 576558 683328 768744 864837 1024992 1153116 1537488 1729674 2049984 2306232 3074976 3459348 4612464 6149952 6918696 9224928 13837392 18449856 27674784 55349568