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51409540 = 22571347601
BaseRepresentation
bin1100010000011…
…1001010000100
310120201212122001
43010013022010
5101130101130
65033515044
71162655020
oct304071204
9116655561
1051409540
1127023826
1215272a84
13a85cb60
146b83380
1547a76ca
hex3107284

51409540 has 96 divisors (see below), whose sum is σ = 135926784. Its totient is φ = 15897600.

The previous prime is 51409511. The next prime is 51409543. The reversal of 51409540 is 4590415.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 51409499 and 51409508.

It is not an unprimeable number, because it can be changed into a prime (51409543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85240 + ... + 85840.

It is an arithmetic number, because the mean of its divisors is an integer number (1415904).

Almost surely, 251409540 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 51409540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67963392).

51409540 is an abundant number, since it is smaller than the sum of its proper divisors (84517244).

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

51409540 is a wasteful number, since it uses less digits than its factorization.

51409540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 51409540 is about 7170.0446302656. The cubic root of 51409540 is about 371.8329789395.

Adding to 51409540 its reverse (4590415), we get a palindrome (55999955).

The spelling of 51409540 in words is "fifty-one million, four hundred nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 601 611 658 910 940 1202 1222 1316 1645 1820 2404 2444 3005 3055 3290 4207 4277 6010 6110 6580 7813 8414 8554 12020 12220 15626 16828 17108 21035 21385 28247 31252 39065 42070 42770 54691 56494 78130 84140 85540 109382 112988 141235 156260 197729 218764 273455 282470 367211 395458 546910 564940 734422 790916 988645 1093820 1468844 1836055 1977290 2570477 3672110 3954580 5140954 7344220 10281908 12852385 25704770 51409540