Search a number
-
+
54345776 = 2419533373
BaseRepresentation
bin1100111101010…
…0000000110000
310210021001101112
43033110000300
5102403031101
65220452452
71226634332
oct317240060
9123231345
1054345776
1128749871
121624a128
13b34a484
147309452
154b876bb
hex33d4030

54345776 has 40 divisors (see below), whose sum is σ = 112961520. Its totient is φ = 25249536.

The previous prime is 54345773. The next prime is 54345817. The reversal of 54345776 is 67754345.

It is not an unprimeable number, because it can be changed into a prime (54345773) 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, 14426 + ... + 17798.

It is an arithmetic number, because the mean of its divisors is an integer number (2824038).

Almost surely, 254345776 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 54345776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480760).

54345776 is an abundant number, since it is smaller than the sum of its proper divisors (58615744).

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

54345776 is a wasteful number, since it uses less digits than its factorization.

54345776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3447 counting only the distinct ones).

The product of its digits is 352800, while the sum is 41.

The square root of 54345776 is about 7371.9587627713. The cubic root of 54345776 is about 378.7813592162.

The spelling of 54345776 in words is "fifty-four million, three hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 3373 4028 6746 8056 13492 16112 26984 53968 64087 128174 178769 256348 357538 512696 715076 1025392 1430152 2860304 3396611 6793222 13586444 27172888 54345776