Search a number
-
+
51404424 = 23319139811
BaseRepresentation
bin1100010000010…
…1111010001000
310120201121121120
43010011322020
5101124420144
65033435240
71162634061
oct304057210
9116647546
1051404424
112701a9a5
121526bb20
13a85a726
146b81568
1547a5e19
hex3105e88

51404424 has 64 divisors (see below), whose sum is σ = 136416000. Its totient is φ = 16096320.

The previous prime is 51404407. The next prime is 51404429. The reversal of 51404424 is 42440415.

It is a happy number.

It is a super-3 number, since 3×514044243 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 51404394 and 51404403.

It is not an unprimeable number, because it can be changed into a prime (51404429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62979 + ... + 63789.

It is an arithmetic number, because the mean of its divisors is an integer number (2131500).

Almost surely, 251404424 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 51404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208000).

51404424 is an abundant number, since it is smaller than the sum of its proper divisors (85011576).

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

51404424 is a wasteful number, since it uses less digits than its factorization.

51404424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 51404424 is about 7169.6878593144. The cubic root of 51404424 is about 371.8206442598.

Adding to 51404424 its reverse (42440415), we get a palindrome (93844839).

The spelling of 51404424 in words is "fifty-one million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 456 556 811 834 1112 1622 1668 2433 2641 3244 3336 4866 5282 6488 7923 9732 10564 15409 15846 19464 21128 30818 31692 46227 61636 63384 92454 112729 123272 184908 225458 338187 369816 450916 676374 901832 1352748 2141851 2705496 4283702 6425553 8567404 12851106 17134808 25702212 51404424