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54125568 = 210327839
BaseRepresentation
bin1100111001111…
…0010000000000
310202211212022200
43032132100000
5102324004233
65212033200
71225026330
oct316362000
9122755280
1054125568
1128609382
1216162800
13b2a1183
14728d0c0
154b42313
hex339e400

54125568 has 132 divisors (see below), whose sum is σ = 178825920. Its totient is φ = 15446016.

The previous prime is 54125557. The next prime is 54125579. The reversal of 54125568 is 86552145.

54125568 is a `hidden beast` number, since 541 + 2 + 55 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (54125557) and next prime (54125579).

It is a super-2 number, since 2×541255682 = 5859154222645248, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64093 + ... + 64931.

Almost surely, 254125568 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 54125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89412960).

54125568 is an abundant number, since it is smaller than the sum of its proper divisors (124700352).

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

54125568 is a wasteful number, since it uses less digits than its factorization.

54125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 851 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 54125568 is about 7357.0080875312. The cubic root of 54125568 is about 378.2690618157.

The spelling of 54125568 in words is "fifty-four million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 839 896 1008 1024 1152 1344 1536 1678 1792 2016 2304 2517 2688 3072 3356 3584 4032 4608 5034 5376 5873 6712 7168 7551 8064 9216 10068 10752 11746 13424 15102 16128 17619 20136 21504 23492 26848 30204 32256 35238 40272 46984 52857 53696 60408 64512 70476 80544 93968 105714 107392 120816 140952 161088 187936 211428 214784 241632 281904 322176 375872 422856 429568 483264 563808 644352 751744 845712 859136 966528 1127616 1288704 1503488 1691424 1933056 2255232 2577408 3006976 3382848 3866112 4510464 6013952 6765696 7732224 9020928 13531392 18041856 27062784 54125568