Search a number
-
+
55576656 = 24321073607
BaseRepresentation
bin1101010000000…
…0100001010000
310212120120211200
43110000201100
5103211423111
65303111200
71243252032
oct324004120
9125516750
1055576656
112940a623
1216742500
13b68b7c5
147549c52
154d2c256
hex3500850

55576656 has 60 divisors (see below), whose sum is σ = 157034592. Its totient is φ = 18347328.

The previous prime is 55576649. The next prime is 55576657. The reversal of 55576656 is 65667555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55576657) 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 11 ways as a sum of consecutive naturals, for example, 13605 + ... + 17211.

Almost surely, 255576656 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 55576656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517296).

55576656 is an abundant number, since it is smaller than the sum of its proper divisors (101457936).

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

55576656 is a wasteful number, since it uses less digits than its factorization.

55576656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3719 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 55576656 is about 7454.9752514680. The cubic root of 55576656 is about 381.6197160284.

The spelling of 55576656 in words is "fifty-five million, five hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3607 3852 5136 7214 7704 10821 14428 15408 21642 28856 32463 43284 57712 64926 86568 129852 173136 259704 385949 519408 771898 1157847 1543796 2315694 3087592 3473541 4631388 6175184 6947082 9262776 13894164 18525552 27788328 55576656