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51428440 = 23572191381
BaseRepresentation
bin1100010000101…
…1110001011000
310120202211120001
43010023301120
5101131202230
65034142344
71163064100
oct304136130
9116684501
1051428440
1127036a48
12152819b4
13a86863b
146b8a200
1547ad0ca
hex310bc58

51428440 has 96 divisors (see below), whose sum is σ = 141793200. Its totient is φ = 16692480.

The previous prime is 51428423. The next prime is 51428441. The reversal of 51428440 is 4482415.

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 = 51428399 and 51428408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51428441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36550 + ... + 37930.

Almost surely, 251428440 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 51428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70896600).

51428440 is an abundant number, since it is smaller than the sum of its proper divisors (90364760).

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

51428440 is a wasteful number, since it uses less digits than its factorization.

51428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 51428440 is about 7171.3624925812. The cubic root of 51428440 is about 371.8785397587.

The spelling of 51428440 in words is "fifty-one million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1381 1862 1960 2660 2762 3724 4655 5320 5524 6905 7448 9310 9667 11048 13810 18620 19334 26239 27620 37240 38668 48335 52478 55240 67669 77336 96670 104956 131195 135338 183673 193340 209912 262390 270676 338345 367346 386680 524780 541352 676690 734692 918365 1049560 1285711 1353380 1469384 1836730 2571422 2706760 3673460 5142844 6428555 7346920 10285688 12857110 25714220 51428440