Search a number
-
+
55541568 = 263443653
BaseRepresentation
bin1101001111011…
…1111101000000
310212111210201010
43103313331000
5103204312233
65302240520
71243044525
oct323677500
9125453633
1055541568
1129396225
1216726140
13b678844
14753b14c
154d21b63
hex34f7f40

55541568 has 56 divisors (see below), whose sum is σ = 147511008. Its totient is φ = 18443776.

The previous prime is 55541561. The next prime is 55541599. The reversal of 55541568 is 86514555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55541561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84730 + ... + 85382.

Almost surely, 255541568 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 55541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73755504).

55541568 is an abundant number, since it is smaller than the sum of its proper divisors (91969440).

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

55541568 is a wasteful number, since it uses less digits than its factorization.

55541568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its digits is 120000, while the sum is 39.

The square root of 55541568 is about 7452.6215521788. The cubic root of 55541568 is about 381.5393879884.

The spelling of 55541568 in words is "fifty-five million, five hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 653 886 1306 1329 1772 1959 2612 2658 3544 3918 5224 5316 7088 7836 10448 10632 14176 15672 20896 21264 28352 31344 41792 42528 62688 85056 125376 289279 578558 867837 1157116 1735674 2314232 3471348 4628464 6942696 9256928 13885392 18513856 27770784 55541568