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51104640 = 273543619
BaseRepresentation
bin1100001011110…
…0101110000000
310120011101101110
43002330232000
5101040322030
65023203320
71160245056
oct302745600
9116141343
1051104640
1126935744
1215146540
13a784142
146b041d6
1547471b0
hex30bcb80

51104640 has 128 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 13289472.

The previous prime is 51104639. The next prime is 51104657. The reversal of 51104640 is 4640115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×511046402 = 5223368459059200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82251 + ... + 82869.

It is an arithmetic number, because the mean of its divisors is an integer number (1304325).

Almost surely, 251104640 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 51104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

51104640 is an abundant number, since it is smaller than the sum of its proper divisors (115848960).

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

51104640 is a wasteful number, since it uses less digits than its factorization.

51104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51104640 is about 7148.7509398496. The cubic root of 51104640 is about 371.0964311732.

Adding to 51104640 its reverse (4640115), we get a palindrome (55744755).

The spelling of 51104640 in words is "fifty-one million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 619 640 645 688 860 960 1032 1238 1290 1376 1720 1857 1920 2064 2476 2580 2752 3095 3440 3714 4128 4952 5160 5504 6190 6880 7428 8256 9285 9904 10320 12380 13760 14856 16512 18570 19808 20640 24760 26617 27520 29712 37140 39616 41280 49520 53234 59424 74280 79232 79851 82560 99040 106468 118848 133085 148560 159702 198080 212936 237696 266170 297120 319404 396160 399255 425872 532340 594240 638808 798510 851744 1064680 1188480 1277616 1597020 1703488 2129360 2555232 3194040 3406976 4258720 5110464 6388080 8517440 10220928 12776160 17034880 25552320 51104640