Search a number
-
+
55296540 = 22335137877
BaseRepresentation
bin1101001011110…
…0001000011100
310212001100121000
43102330020130
5103123442130
65253110300
71241004255
oct322741034
9125040530
1055296540
1129239122
1216628390
13b5c1160
1474b5b2c
154cc4260
hex34bc21c

55296540 has 96 divisors (see below), whose sum is σ = 185290560. Its totient is φ = 13609728.

The previous prime is 55296497. The next prime is 55296569. The reversal of 55296540 is 4569255.

55296540 is a `hidden beast` number, since 552 + 9 + 65 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55296495 and 55296504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (1930110).

Almost surely, 255296540 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 55296540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92645280).

55296540 is an abundant number, since it is smaller than the sum of its proper divisors (129994020).

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

55296540 is a wasteful number, since it uses less digits than its factorization.

55296540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55296540 is about 7436.1643338485. The cubic root of 55296540 is about 380.9774926254.

The spelling of 55296540 in words is "fifty-five million, two hundred ninety-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 7877 15754 23631 31508 39385 47262 70893 78770 94524 102401 118155 141786 157540 204802 212679 236310 283572 307203 354465 409604 425358 472620 512005 614406 708930 850716 921609 1024010 1063395 1228812 1417860 1536015 1843218 2048020 2126790 2764827 3072030 3686436 4253580 4608045 5529654 6144060 9216090 11059308 13824135 18432180 27648270 55296540