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54499328 = 211132389
BaseRepresentation
bin1100111111100…
…1100000000000
310210112212000122
43033321200000
5102422434303
65224035412
71231144112
oct317714000
9123485018
1054499328
1128844174
1216302b68
13b3a2330
1473493b2
154bb7e38
hex33f9800

54499328 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 23789568.

The previous prime is 54499321. The next prime is 54499337. The reversal of 54499328 is 82399445.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54499321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612308 + ... + 612396.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 254499328 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 54499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

54499328 is an abundant number, since it is smaller than the sum of its proper divisors (69333472).

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

54499328 is a wasteful number, since it uses less digits than its factorization.

54499328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 54499328 is about 7382.3660163934. The cubic root of 54499328 is about 379.1377680400.

The spelling of 54499328 in words is "fifty-four million, four hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 89 92 104 128 178 184 208 256 299 356 368 416 512 598 712 736 832 1024 1157 1196 1424 1472 1664 2047 2048 2314 2392 2848 2944 3328 4094 4628 4784 5696 5888 6656 8188 9256 9568 11392 11776 13312 16376 18512 19136 22784 23552 26611 26624 32752 37024 38272 45568 47104 53222 65504 74048 76544 91136 106444 131008 148096 153088 182272 212888 262016 296192 306176 425776 524032 592384 612352 851552 1048064 1184768 1703104 2096128 2369536 3406208 4192256 6812416 13624832 27249664 54499328