Search a number
-
+
51321280 = 2651923367
BaseRepresentation
bin1100001111000…
…1100111000000
310120120101120011
43003301213000
5101114240110
65031554304
71162136503
oct303614700
9116511504
1051321280
1126a7348a
121522b994
13a82b92a
146b5d13a
15478b48a
hex30f19c0

51321280 has 112 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 18551808.

The previous prime is 51321253. The next prime is 51321287. The reversal of 51321280 is 8212315.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51321287) 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, 139657 + ... + 140023.

Almost surely, 251321280 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 51321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

51321280 is an abundant number, since it is smaller than the sum of its proper divisors (83278400).

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

51321280 is a wasteful number, since it uses less digits than its factorization.

51321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 51321280 is about 7163.8872129592. The cubic root of 51321280 is about 371.6200691870.

Adding to 51321280 its reverse (8212315), we get a palindrome (59533595).

The spelling of 51321280 in words is "fifty-one million, three hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 367 368 380 437 460 608 734 736 760 874 920 1216 1468 1472 1520 1748 1835 1840 2185 2936 3040 3496 3670 3680 4370 5872 6080 6973 6992 7340 7360 8441 8740 11744 13946 13984 14680 16882 17480 23488 27892 27968 29360 33764 34865 34960 42205 55784 58720 67528 69730 69920 84410 111568 117440 135056 139460 139840 160379 168820 223136 270112 278920 320758 337640 446272 540224 557840 641516 675280 801895 1115680 1283032 1350560 1603790 2231360 2566064 2701120 3207580 5132128 6415160 10264256 12830320 25660640 51321280