[go: up one dir, main page]

Search a number
-
+
51141104 = 2472374143
BaseRepresentation
bin1100001100010…
…1100111110000
310120020020101222
43003011213300
5101043003404
65024044212
71160456300
oct303054760
9116206358
1051141104
1126960083
1215163668
13a797911
146b13600
154752dbe
hex30c59f0

51141104 has 120 divisors (see below), whose sum is σ = 124085808. Its totient is φ = 20321280.

The previous prime is 51141089. The next prime is 51141107. The reversal of 51141104 is 40114115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51141107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189307 + ... + 1189349.

Almost surely, 251141104 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 51141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62042904).

51141104 is an abundant number, since it is smaller than the sum of its proper divisors (72944704).

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

51141104 is a wasteful number, since it uses less digits than its factorization.

51141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 51141104 is about 7151.3008606826. The cubic root of 51141104 is about 371.1846713225.

Adding to 51141104 its reverse (40114115), we get a palindrome (91255219).

The spelling of 51141104 in words is "fifty-one million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 41 43 49 56 74 82 86 98 112 148 164 172 196 259 287 296 301 328 344 392 518 574 592 602 656 688 784 1036 1148 1204 1517 1591 1763 1813 2009 2072 2107 2296 2408 3034 3182 3526 3626 4018 4144 4214 4592 4816 6068 6364 7052 7252 8036 8428 10619 11137 12136 12341 12728 14104 14504 16072 16856 21238 22274 24272 24682 25456 28208 29008 32144 33712 42476 44548 49364 65231 74333 77959 84952 86387 89096 98728 130462 148666 155918 169904 172774 178192 197456 260924 297332 311836 345548 456617 521848 594664 623672 691096 913234 1043696 1189328 1247344 1382192 1826468 3196319 3652936 6392638 7305872 12785276 25570552 51141104