Search a number
-
+
51241410 = 23851171
BaseRepresentation
bin1100001101111…
…0000111000010
310120102100000000
43003132013002
5101104211120
65030140430
71161354603
oct303360702
9116370000
1051241410
1126a19480
12151b1716
13a80147c
146b3bdaa
154772990
hex30de1c2

51241410 has 144 divisors (see below), whose sum is σ = 153047232. Its totient is φ = 12247200.

The previous prime is 51241409. The next prime is 51241427. The reversal of 51241410 is 1414215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721675 + ... + 721745.

It is an arithmetic number, because the mean of its divisors is an integer number (1062828).

Almost surely, 251241410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51241410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76523616).

51241410 is an abundant number, since it is smaller than the sum of its proper divisors (101805822).

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

51241410 is an equidigital number, since it uses as much as digits as its factorization.

51241410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51241410 is about 7158.3105548726. The cubic root of 51241410 is about 371.4271881464.

Adding to 51241410 its reverse (1414215), we get a palindrome (52655625).

The spelling of 51241410 in words is "fifty-one million, two hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 81 90 99 110 135 142 162 165 198 213 243 270 297 330 355 405 426 486 495 594 639 710 729 781 810 891 990 1065 1215 1278 1458 1485 1562 1782 1917 2130 2187 2343 2430 2673 2970 3195 3645 3834 3905 4374 4455 4686 5346 5751 6390 6561 7029 7290 7810 8019 8910 9585 10935 11502 11715 13122 13365 14058 16038 17253 19170 21087 21870 23430 24057 26730 28755 32805 34506 35145 40095 42174 48114 51759 57510 63261 65610 70290 72171 80190 86265 103518 105435 120285 126522 144342 155277 172530 189783 210870 240570 258795 310554 316305 360855 379566 465831 517590 569349 632610 721710 776385 931662 948915 1138698 1552770 1708047 1897830 2329155 2846745 3416094 4658310 5124141 5693490 8540235 10248282 17080470 25620705 51241410