Search a number
-
+
51946464 = 253617877
BaseRepresentation
bin1100011000101…
…0001111100000
310121202011011010
43012022033200
5101244241324
65053220520
71200352263
oct306121740
9117664133
1051946464
1127360169
1215491740
13a9ba36b
146c82cda
154861829
hex318a3e0

51946464 has 48 divisors (see below), whose sum is σ = 136736208. Its totient is φ = 17267712.

The previous prime is 51946459. The next prime is 51946469. The reversal of 51946464 is 46464915.

It is an interprime number because it is at equal distance from previous prime (51946459) and next prime (51946469).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51946469) 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 7 ways as a sum of consecutive naturals, for example, 58794 + ... + 59670.

It is an arithmetic number, because the mean of its divisors is an integer number (2848671).

Almost surely, 251946464 is an apocalyptic number.

It is an amenable number.

51946464 is an abundant number, since it is smaller than the sum of its proper divisors (84789744).

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

51946464 is a wasteful number, since it uses less digits than its factorization.

51946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1499 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 51946464 is about 7207.3895412972. The cubic root of 51946464 is about 373.1229795715.

The spelling of 51946464 in words is "fifty-one million, nine hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 877 1234 1754 1851 2468 2631 3508 3702 4936 5262 7016 7404 9872 10524 14032 14808 19744 21048 28064 29616 42096 59232 84192 541109 1082218 1623327 2164436 3246654 4328872 6493308 8657744 12986616 17315488 25973232 51946464