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54426060 = 22335137753
BaseRepresentation
bin1100111110011…
…1100111001100
310210102010112000
43033213213030
5102413113220
65222312300
71230420363
oct317474714
9123363460
1054426060
11287a4117
1216288690
13b377b90
14732a7da
154ba1390
hex33e79cc

54426060 has 96 divisors (see below), whose sum is σ = 182374080. Its totient is φ = 13395456.

The previous prime is 54426059. The next prime is 54426067. The reversal of 54426060 is 6062445.

It is a happy number.

54426060 is a `hidden beast` number, since 54 + 4 + 2 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (54426067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (1899730).

Almost surely, 254426060 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 54426060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91187040).

54426060 is an abundant number, since it is smaller than the sum of its proper divisors (127948020).

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

54426060 is a wasteful number, since it uses less digits than its factorization.

54426060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54426060 is about 7377.4019817277. The cubic root of 54426060 is about 378.9677896524.

The spelling of 54426060 in words is "fifty-four million, four hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 7753 15506 23259 31012 38765 46518 69777 77530 93036 100789 116295 139554 155060 201578 209331 232590 279108 302367 348885 403156 418662 465180 503945 604734 697770 837324 907101 1007890 1046655 1209468 1395540 1511835 1814202 2015780 2093310 2721303 3023670 3628404 4186620 4535505 5442606 6047340 9071010 10885212 13606515 18142020 27213030 54426060