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54442368 = 27345989
BaseRepresentation
bin1100111110101…
…1100110000000
310210102221220000
43033223212000
5102414123433
65222520000
71230516051
oct317534600
9123387800
1054442368
11288053a2
1216296000
13b382426
147332728
154ba6113
hex33eb980

54442368 has 160 divisors (see below), whose sum is σ = 166617000. Its totient is φ = 17639424.

The previous prime is 54442337. The next prime is 54442379. The reversal of 54442368 is 86324445.

54442368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 611668 + ... + 611756.

Almost surely, 254442368 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 54442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83308500).

54442368 is an abundant number, since it is smaller than the sum of its proper divisors (112174632).

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

54442368 is an equidigital number, since it uses as much as digits as its factorization.

54442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 54442368 is about 7378.5071660872. The cubic root of 54442368 is about 379.0056366541.

It can be divided in two parts, 54 and 442368, that multiplied together give a cube (23887872 = 2883).

The spelling of 54442368 in words is "fifty-four million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 89 96 108 118 128 144 162 177 178 192 216 236 267 288 324 354 356 384 432 472 531 534 576 648 708 712 801 864 944 1062 1068 1152 1296 1416 1424 1593 1602 1728 1888 2124 2136 2403 2592 2832 2848 3186 3204 3456 3776 4248 4272 4779 4806 5184 5251 5664 5696 6372 6408 7209 7552 8496 8544 9558 9612 10368 10502 11328 11392 12744 12816 14418 15753 16992 17088 19116 19224 21004 22656 25488 25632 28836 31506 33984 34176 38232 38448 42008 47259 50976 51264 57672 63012 67968 76464 76896 84016 94518 101952 102528 115344 126024 141777 152928 153792 168032 189036 203904 230688 252048 283554 305856 307584 336064 378072 425331 461376 504096 567108 611712 672128 756144 850662 922752 1008192 1134216 1512288 1701324 2016384 2268432 3024576 3402648 4536864 6049152 6805296 9073728 13610592 18147456 27221184 54442368