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51006460 = 22517413659
BaseRepresentation
bin1100001010010…
…0101111111100
310112222101201011
43002210233330
5101024201320
65021125004
71156355611
oct302445774
9115871634
1051006460
11268789aa
12150b9764
13a74b54b
146aba508
15472805a
hex30a4bfc

51006460 has 48 divisors (see below), whose sum is σ = 116212320. Its totient is φ = 18728960.

The previous prime is 51006457. The next prime is 51006481. The reversal of 51006460 is 6460015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12111 + ... + 15769.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 251006460 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 51006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106160).

51006460 is an abundant number, since it is smaller than the sum of its proper divisors (65205860).

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

51006460 is a wasteful number, since it uses less digits than its factorization.

51006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51006460 is about 7141.8807046884. The cubic root of 51006460 is about 370.8586340801.

Adding to 51006460 its reverse (6460015), we get a palindrome (57466475).

The spelling of 51006460 in words is "fifty-one million, six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 3659 6970 7318 13940 14636 18295 36590 62203 73180 124406 150019 248812 300038 311015 600076 622030 750095 1244060 1500190 2550323 3000380 5100646 10201292 12751615 25503230 51006460