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54797568 = 283710193
BaseRepresentation
bin1101000100001…
…0010100000000
310211010000010120
43101002110000
5103012010233
65234300240
71233525450
oct321022400
9124100116
1054797568
1128a28251
1216427680
13b477cc7
1473c5d60
154c264b3
hex3442500

54797568 has 72 divisors (see below), whose sum is σ = 166692288. Its totient is φ = 15654912.

The previous prime is 54797563. The next prime is 54797593. The reversal of 54797568 is 86579745.

It is a self number, because there is not a number n which added to its sum of digits gives 54797568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54797563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 10472.

Almost surely, 254797568 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 54797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83346144).

54797568 is an abundant number, since it is smaller than the sum of its proper divisors (111894720).

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

54797568 is a wasteful number, since it uses less digits than its factorization.

54797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219 (or 10205 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 54797568 is about 7402.5379431652. The cubic root of 54797568 is about 379.8281032313.

The spelling of 54797568 in words is "fifty-four million, seven hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 10193 20386 30579 40772 61158 71351 81544 122316 142702 163088 214053 244632 285404 326176 428106 489264 570808 652352 856212 978528 1141616 1304704 1712424 1957056 2283232 2609408 3424848 3914112 4566464 6849696 7828224 9132928 13699392 18265856 27398784 54797568