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55967142 = 23711232229
BaseRepresentation
bin1101010101111…
…1110110100110
310220022102111010
43111133312212
5103311422032
65315323050
71246466340
oct325376646
9126272433
1055967142
1129656a40
12168b0486
13b79746a
14760c290
154da7ccc
hex355fda6

55967142 has 96 divisors (see below), whose sum is σ = 146522880. Its totient is φ = 13844160.

The previous prime is 55967101. The next prime is 55967159. The reversal of 55967142 is 24176955.

It is a self number, because there is not a number n which added to its sum of digits gives 55967142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244284 + ... + 244512.

It is an arithmetic number, because the mean of its divisors is an integer number (1526280).

Almost surely, 255967142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55967142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73261440).

55967142 is an abundant number, since it is smaller than the sum of its proper divisors (90555738).

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

55967142 is a wasteful number, since it uses less digits than its factorization.

55967142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 55967142 is about 7481.1190339414. The cubic root of 55967142 is about 382.5113944233.

The spelling of 55967142 in words is "fifty-five million, nine hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 229 231 253 322 458 462 483 506 529 687 759 966 1058 1374 1518 1587 1603 1771 2519 3174 3206 3542 3703 4809 5038 5267 5313 5819 7406 7557 9618 10534 10626 11109 11638 15114 15801 17457 17633 22218 31602 34914 35266 36869 40733 52899 57937 73738 81466 105798 110607 115874 121141 122199 173811 221214 242282 244398 347622 363423 405559 726846 811118 847987 1216677 1332551 1695974 2433354 2543961 2665102 3997653 5087922 7995306 9327857 18655714 27983571 55967142