Search a number
-
+
54962928 = 2433472707
BaseRepresentation
bin1101000110101…
…0101011110000
310211102101222000
43101222223300
5103032303203
65242014000
71235114526
oct321525360
9124371860
1054962928
1129030509
12164a7300
13b505357
14742a316
154c5a4a3
hex346aaf0

54962928 has 80 divisors (see below), whose sum is σ = 161180160. Its totient is φ = 17924544.

The previous prime is 54962911. The next prime is 54962951. The reversal of 54962928 is 82926945.

54962928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18951 + ... + 21657.

It is an arithmetic number, because the mean of its divisors is an integer number (2014752).

Almost surely, 254962928 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 54962928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80590080).

54962928 is an abundant number, since it is smaller than the sum of its proper divisors (106217232).

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

54962928 is a wasteful number, since it uses less digits than its factorization.

54962928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2759 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 54962928 is about 7413.6986720530. The cubic root of 54962928 is about 380.2097825965.

The spelling of 54962928 in words is "fifty-four million, nine hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 2707 3384 5076 5414 6768 8121 10152 10828 16242 20304 21656 24363 32484 43312 48726 64968 73089 97452 127229 129936 146178 194904 254458 292356 381687 389808 508916 584712 763374 1017832 1145061 1169424 1526748 2035664 2290122 3053496 3435183 4580244 6106992 6870366 9160488 13740732 18320976 27481464 54962928