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51480468 = 22331337991
BaseRepresentation
bin1100010001100…
…0011110010100
310120212110221000
43010120132110
5101134333333
65035223300
71163401554
oct304303624
9116773830
1051480468
1127072046
12152a7b30
13a886220
146ba1164
1547bd713
hex3118794

51480468 has 96 divisors (see below), whose sum is σ = 147768320. Its totient is φ = 15396480.

The previous prime is 51480439. The next prime is 51480469. The reversal of 51480468 is 86408415.

51480468 is a `hidden beast` number, since 514 + 80 + 4 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51480469) 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 31 ways as a sum of consecutive naturals, for example, 51453 + ... + 52443.

Almost surely, 251480468 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 51480468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73884160).

51480468 is an abundant number, since it is smaller than the sum of its proper divisors (96287852).

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

51480468 is a wasteful number, since it uses less digits than its factorization.

51480468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 51480468 is about 7174.9890592251. The cubic root of 51480468 is about 372.0039021443.

The spelling of 51480468 in words is "fifty-one million, four hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 991 999 1332 1404 1443 1924 1982 1998 2886 2973 3964 3996 4329 5772 5946 8658 8919 11892 12883 12987 17316 17838 25766 25974 26757 35676 36667 38649 51532 51948 53514 73334 77298 107028 110001 115947 146668 154596 220002 231894 330003 347841 440004 463788 476671 660006 695682 953342 990009 1320012 1391364 1430013 1906684 1980018 2860026 3960036 4290039 5720052 8580078 12870117 17160156 25740234 51480468