Search a number
-
+
51349401 = 32172971163
BaseRepresentation
bin1100001111100…
…0011110011001
310120121211010200
43003320132121
5101121140101
65032332413
71162314465
oct303703631
9116554120
1051349401
1126a92624
1215244109
13a83b67c
146b694a5
154794986
hex30f8799

51349401 has 48 divisors (see below), whose sum is σ = 82892160. Its totient is φ = 30481920.

The previous prime is 51349399. The next prime is 51349433. The reversal of 51349401 is 10494315.

It is not a de Polignac number, because 51349401 - 21 = 51349399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51349471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314946 + ... + 315108.

It is an arithmetic number, because the mean of its divisors is an integer number (1726920).

Almost surely, 251349401 is an apocalyptic number.

51349401 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51349401 is a deficient number, since it is larger than the sum of its proper divisors (31542759).

51349401 is a wasteful number, since it uses less digits than its factorization.

51349401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51349401 is about 7165.8496355980. The cubic root of 51349401 is about 371.6879320035.

It can be divided in two parts, 5134 and 9401, that added together give a triangular number (14535 = T170).

The spelling of 51349401 in words is "fifty-one million, three hundred forty-nine thousand, four hundred one".

Divisors: 1 3 9 17 29 51 71 87 153 163 213 261 489 493 639 1207 1467 1479 2059 2771 3621 4437 4727 6177 8313 10863 11573 14181 18531 24939 34719 35003 42543 80359 104157 105009 196741 241077 315027 335617 590223 723231 1006851 1770669 3020553 5705489 17116467 51349401