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8989056 = 2735172
BaseRepresentation
bin100010010010…
…100110000000
3121220200200000
4202102212000
54300122211
6520400000
7136256106
oct42224600
917820600
108989056
11508a67a
123016000
131b2968b
14129dc76
15bc8656
hex892980

8989056 has 144 divisors (see below), whose sum is σ = 28495740. Its totient is φ = 2820096.

The previous prime is 8989051. The next prime is 8989061. The reversal of 8989056 is 6509898.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8989051) and next prime (8989061).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×89890562 = 161606255542272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8989051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 528760 + ... + 528776.

Almost surely, 28989056 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 8989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247870).

8989056 is an abundant number, since it is smaller than the sum of its proper divisors (19506684).

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

8989056 is an equidigital number, since it uses as much as digits as its factorization.

8989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8989056 is about 2998.1754451666. The cubic root of 8989056 is about 207.9240353764.

Adding to 8989056 its product of nonzero digits (155520), we get a square (9144576 = 30242).

The spelling of 8989056 in words is "eight million, nine hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 243 272 288 289 306 324 384 408 432 459 486 544 576 578 612 648 816 864 867 918 972 1088 1152 1156 1224 1296 1377 1632 1728 1734 1836 1944 2176 2312 2448 2592 2601 2754 3264 3456 3468 3672 3888 4131 4624 4896 5184 5202 5508 6528 6936 7344 7776 7803 8262 9248 9792 10368 10404 11016 13872 14688 15552 15606 16524 18496 19584 20808 22032 23409 27744 29376 31104 31212 33048 36992 41616 44064 46818 55488 58752 62424 66096 70227 83232 88128 93636 110976 124848 132192 140454 166464 176256 187272 249696 264384 280908 332928 374544 499392 528768 561816 749088 998784 1123632 1498176 2247264 2996352 4494528 8989056