Search a number
-
+
54328368 = 24329311259
BaseRepresentation
bin1100111100111…
…1110000110000
310210020011111210
43033033300300
5102402001433
65220240120
71226532513
oct317176060
9123204453
1054328368
1128737786
1216240040
13b342583
147302d7a
154b82463
hex33cfc30

54328368 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16907520.

The previous prime is 54328367. The next prime is 54328387. The reversal of 54328368 is 86382345.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (54328361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42523 + ... + 43781.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 254328368 is an apocalyptic number.

54328368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54328368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

54328368 is an abundant number, since it is smaller than the sum of its proper divisors (95662032).

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

54328368 is a wasteful number, since it uses less digits than its factorization.

54328368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 54328368 is about 7370.7779779342. Note that the first 3 decimals coincide. The cubic root of 54328368 is about 378.7409112394.

The spelling of 54328368 in words is "fifty-four million, three hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 1259 1392 1488 1798 2518 2697 3596 3777 5036 5394 7192 7554 10072 10788 14384 15108 20144 21576 30216 36511 39029 43152 60432 73022 78058 109533 117087 146044 156116 219066 234174 292088 312232 438132 468348 584176 624464 876264 936696 1131841 1752528 1873392 2263682 3395523 4527364 6791046 9054728 13582092 18109456 27164184 54328368