Search a number
-
+
51270408 = 2334789127
BaseRepresentation
bin1100001110010…
…1001100001000
310120110210210000
43003211030020
5101111123113
65030523000
71161535260
oct303451410
9116423700
1051270408
1126a39242
1215206460
13a811727
146b487a0
15477b373
hex30e5308

51270408 has 160 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 14370048.

The previous prime is 51270403. The next prime is 51270409. The reversal of 51270408 is 80407215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51270403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403641 + ... + 403767.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 251270408 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 51270408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

51270408 is an abundant number, since it is smaller than the sum of its proper divisors (115999992).

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

51270408 is a wasteful number, since it uses less digits than its factorization.

51270408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 51270408 is about 7160.3357463180. The cubic root of 51270408 is about 371.4972396569.

The spelling of 51270408 in words is "fifty-one million, two hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 89 108 126 127 162 168 178 189 216 252 254 267 324 356 378 381 504 508 534 567 623 648 712 756 762 801 889 1016 1068 1134 1143 1246 1512 1524 1602 1778 1869 2136 2268 2286 2403 2492 2667 3048 3204 3429 3556 3738 4536 4572 4806 4984 5334 5607 6408 6858 7112 7209 7476 8001 9144 9612 10287 10668 11214 11303 13716 14418 14952 16002 16821 19224 20574 21336 22428 22606 24003 27432 28836 32004 33642 33909 41148 44856 45212 48006 50463 57672 64008 67284 67818 72009 79121 82296 90424 96012 100926 101727 134568 135636 144018 158242 192024 201852 203454 237363 271272 288036 305181 316484 403704 406908 474726 576072 610362 632968 712089 813816 915543 949452 1220724 1424178 1831086 1898904 2136267 2441448 2848356 3662172 4272534 5696712 6408801 7324344 8545068 12817602 17090136 25635204 51270408