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53458496 = 2671367137
BaseRepresentation
bin1100101111101…
…1011001000000
310201120222021022
43023323121000
5102141132441
65145445012
71216250450
oct313733100
9121528238
1053458496
11281a3183
1215aa0768
13b0c9660
147157d60
154a5e84b
hex32fb640

53458496 has 112 divisors (see below), whose sum is σ = 133478016. Its totient is φ = 20680704.

The previous prime is 53458487. The next prime is 53458501. The reversal of 53458496 is 69485435.

53458496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 390140 + ... + 390276.

It is an arithmetic number, because the mean of its divisors is an integer number (1191768).

Almost surely, 253458496 is an apocalyptic number.

53458496 is a gapful number since it is divisible by the number (56) 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 53458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66739008).

53458496 is an abundant number, since it is smaller than the sum of its proper divisors (80019520).

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

53458496 is a wasteful number, since it uses less digits than its factorization.

53458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 53458496 is about 7311.5317136699. The cubic root of 53458496 is about 376.7086379558.

The spelling of 53458496 in words is "fifty-three million, four hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 91 104 112 134 137 182 208 224 268 274 364 416 448 469 536 548 728 832 871 938 959 1072 1096 1456 1742 1781 1876 1918 2144 2192 2912 3484 3562 3752 3836 4288 4384 5824 6097 6968 7124 7504 7672 8768 9179 12194 12467 13936 14248 15008 15344 18358 24388 24934 27872 28496 30016 30688 36716 48776 49868 55744 56992 61376 64253 73432 97552 99736 113984 119327 128506 146864 195104 199472 238654 257012 293728 390208 398944 477308 514024 587456 797888 835289 954616 1028048 1670578 1909232 2056096 3341156 3818464 4112192 6682312 7636928 13364624 26729248 53458496