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54963220 = 22513593583
BaseRepresentation
bin1101000110101…
…0110000010100
310211102102100211
43101222300110
5103032310340
65242015204
71235115424
oct321526024
9124372324
1054963220
1129030754
12164a7504
13b505520
14742a484
154c5a5ea
hex346ac14

54963220 has 48 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 19944576.

The previous prime is 54963211. The next prime is 54963221. The reversal of 54963220 is 2236945.

It is a super-3 number, since 3×549632203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54963221) 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 15 ways as a sum of consecutive naturals, for example, 13549 + ... + 17131.

It is an arithmetic number, because the mean of its divisors is an integer number (2634240).

Almost surely, 254963220 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 54963220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

54963220 is an abundant number, since it is smaller than the sum of its proper divisors (71480300).

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

54963220 is a wasteful number, since it uses less digits than its factorization.

54963220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 54963220 is about 7413.7183653009. The cubic root of 54963220 is about 380.2104559052.

The spelling of 54963220 in words is "fifty-four million, nine hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 3068 3583 3835 7166 7670 14332 15340 17915 35830 46579 71660 93158 186316 211397 232895 422794 465790 845588 931580 1056985 2113970 2748161 4227940 5496322 10992644 13740805 27481610 54963220