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5556168 = 233329887
BaseRepresentation
bin10101001100011111001000
3101110021122000
4111030133020
52410244133
6315031000
765140512
oct25143710
911407560
105556168
113155482
121a3b460
1311c6c97
14a48bb2
1574b413
hex54c7c8

5556168 has 64 divisors (see below), whose sum is σ = 15984000. Its totient is φ = 1786176.

The previous prime is 5556167. The next prime is 5556169. The reversal of 5556168 is 8616555.

It is an interprime number because it is at equal distance from previous prime (5556167) and next prime (5556169).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5556167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5821 + ... + 6707.

It is an arithmetic number, because the mean of its divisors is an integer number (249750).

Almost surely, 25556168 is an apocalyptic number.

5556168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992000).

5556168 is an abundant number, since it is smaller than the sum of its proper divisors (10427832).

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

5556168 is a wasteful number, since it uses less digits than its factorization.

5556168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5556168 is about 2357.1525194607. The cubic root of 5556168 is about 177.1162694847.

The spelling of 5556168 in words is "five million, five hundred fifty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 887 1044 1566 1774 2088 2661 3132 3548 5322 6264 7096 7983 10644 15966 21288 23949 25723 31932 47898 51446 63864 77169 95796 102892 154338 191592 205784 231507 308676 463014 617352 694521 926028 1389042 1852056 2778084 5556168