[go: up one dir, main page]

Search a number
-
+
51555040 = 2552941271
BaseRepresentation
bin1100010010101…
…0101011100000
310121000021012221
43010222223200
5101144230130
65041000424
71164132145
oct304525340
9117007187
1051555040
1127113079
1215323114
13a8b1154
146bc03cc
1547d587a
hex312aae0

51555040 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 19353600.

The previous prime is 51554969. The next prime is 51555047. The reversal of 51555040 is 4055515.

It is a junction number, because it is equal to n+sod(n) for n = 51554996 and 51555014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51555047) 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, 190105 + ... + 190375.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 251555040 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 51555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

51555040 is an abundant number, since it is smaller than the sum of its proper divisors (77993120).

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

51555040 is a wasteful number, since it uses less digits than its factorization.

51555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 51555040 is about 7180.1838416575. The cubic root of 51555040 is about 372.1834374908.

It can be divided in two parts, 515 and 55040, that added together give a palindrome (55555).

The spelling of 51555040 in words is "fifty-one million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 80 82 116 145 160 164 205 232 271 290 328 410 464 542 580 656 820 928 1084 1160 1189 1312 1355 1640 2168 2320 2378 2710 3280 4336 4640 4756 5420 5945 6560 7859 8672 9512 10840 11111 11890 15718 19024 21680 22222 23780 31436 38048 39295 43360 44444 47560 55555 62872 78590 88888 95120 111110 125744 157180 177776 190240 222220 251488 314360 322219 355552 444440 628720 644438 888880 1257440 1288876 1611095 1777760 2577752 3222190 5155504 6444380 10311008 12888760 25777520 51555040