Search a number
-
+
54788316 = 22311297389
BaseRepresentation
bin1101000100000…
…0000011011100
310211002112102220
43101000003130
5103011211231
65234145340
71233456462
oct321000334
9124075386
1054788316
1128a21300
1216422250
13b473a2b
1473c2832
154c23896
hex34400dc

54788316 has 72 divisors (see below), whose sum is σ = 142331280. Its totient is φ = 16389120.

The previous prime is 54788303. The next prime is 54788333. The reversal of 54788316 is 61388745.

54788316 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

54788316 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140650 + ... + 141038.

Almost surely, 254788316 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 54788316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71165640).

54788316 is an abundant number, since it is smaller than the sum of its proper divisors (87542964).

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

54788316 is a wasteful number, since it uses less digits than its factorization.

54788316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 54788316 is about 7401.9129959761. The cubic root of 54788316 is about 379.8067253518.

The spelling of 54788316 in words is "fifty-four million, seven hundred eighty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 121 132 194 242 291 363 388 389 484 582 726 778 1067 1164 1167 1452 1556 2134 2334 3201 4268 4279 4668 6402 8558 11737 12804 12837 17116 23474 25674 35211 37733 46948 47069 51348 70422 75466 94138 113199 140844 141207 150932 188276 226398 282414 415063 452796 564828 830126 1245189 1660252 2490378 4565693 4980756 9131386 13697079 18262772 27394158 54788316