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51005040 = 24354612
BaseRepresentation
bin1100001010010…
…0011001110000
310112222022202120
43002210121300
5101024130130
65021114240
71156351512
oct302443160
9115868676
1051005040
1126877929
12150b8980
13a74a9c8
146ab9bb2
154727910
hex30a4670

51005040 has 60 divisors (see below), whose sum is σ = 158459352. Its totient is φ = 13571840.

The previous prime is 51005039. The next prime is 51005057. The reversal of 51005040 is 4050015.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110410 + ... + 110870.

Almost surely, 251005040 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 51005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79229676).

51005040 is an abundant number, since it is smaller than the sum of its proper divisors (107454312).

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

51005040 is an equidigital number, since it uses as much as digits as its factorization.

51005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 51005040 is about 7141.7812904065. The cubic root of 51005040 is about 370.8551925282.

Multiplying 51005040 by its sum of digits (15), we get a square (765075600 = 276602).

51005040 divided by its sum of digits (15) gives a square (3400336 = 18442).

Adding to 51005040 its reverse (4050015), we get a palindrome (55055055).

The spelling of 51005040 in words is "fifty-one million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 461 922 1383 1844 2305 2766 3688 4610 5532 6915 7376 9220 11064 13830 18440 22128 27660 36880 55320 110640 212521 425042 637563 850084 1062605 1275126 1700168 2125210 2550252 3187815 3400336 4250420 5100504 6375630 8500840 10201008 12751260 17001680 25502520 51005040