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51555168 = 25327107239
BaseRepresentation
bin1100010010101…
…0101101100000
310121000021101200
43010222231200
5101144231133
65041001200
71164132420
oct304525540
9117007350
1051555168
1127113185
1215323200
13a8b1222
146bc0480
1547d5913
hex312ab60

51555168 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14531328.

The previous prime is 51555157. The next prime is 51555173. The reversal of 51555168 is 86155515.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215593 + ... + 215831.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 251555168 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 51555168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

51555168 is an abundant number, since it is smaller than the sum of its proper divisors (118272672).

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

51555168 is a wasteful number, since it uses less digits than its factorization.

51555168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The square root of 51555168 is about 7180.1927550728. The cubic root of 51555168 is about 372.1837455075.

The spelling of 51555168 in words is "fifty-one million, five hundred fifty-five thousand, one 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 72 84 96 107 112 126 144 168 214 224 239 252 288 321 336 428 478 504 642 672 717 749 856 956 963 1008 1284 1434 1498 1673 1712 1912 1926 2016 2151 2247 2568 2868 2996 3346 3424 3824 3852 4302 4494 5019 5136 5736 5992 6692 6741 7648 7704 8604 8988 10038 10272 11472 11984 13384 13482 15057 15408 17208 17976 20076 22944 23968 25573 26768 26964 30114 30816 34416 35952 40152 51146 53536 53928 60228 68832 71904 76719 80304 102292 107856 120456 153438 160608 179011 204584 215712 230157 240912 306876 358022 409168 460314 481824 537033 613752 716044 818336 920628 1074066 1227504 1432088 1611099 1841256 2148132 2455008 2864176 3222198 3682512 4296264 5728352 6444396 7365024 8592528 12888792 17185056 25777584 51555168