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54764028 = 223211413373
BaseRepresentation
bin1101000011101…
…0000111111100
310211001022010100
43100322013330
5103004422103
65233441100
71233325614
oct320720774
9124038110
1054764028
1128a05030
1216410190
13b465967
1473b7a44
154c1b5a3
hex343a1fc

54764028 has 72 divisors (see below), whose sum is σ = 154745136. Its totient is φ = 16185600.

The previous prime is 54764027. The next prime is 54764053. The reversal of 54764028 is 82046745.

54764028 is a `hidden beast` number, since 5 + 4 + 7 + 640 + 2 + 8 = 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 = 54763983 and 54764001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54764027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14550 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (2149238).

Almost surely, 254764028 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 54764028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77372568).

54764028 is an abundant number, since it is smaller than the sum of its proper divisors (99981108).

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

54764028 is a wasteful number, since it uses less digits than its factorization.

54764028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54764028 is about 7400.2721571575. The cubic root of 54764028 is about 379.7505934982.

The spelling of 54764028 in words is "fifty-four million, seven hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 3373 4059 5412 6746 8118 10119 13492 16236 20238 30357 37103 40476 60714 74206 111309 121428 138293 148412 222618 276586 333927 414879 445236 553172 667854 829758 1244637 1335708 1521223 1659516 2489274 3042446 4563669 4978548 6084892 9127338 13691007 18254676 27382014 54764028