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51917040 = 24325710301
BaseRepresentation
bin1100011000001…
…1000011110000
310121200122210100
43012003003300
5101242321130
65052432400
71200200430
oct306030360
9117618710
1051917040
112734004a
1215478700
13a9a9b56
146c762c0
154857c60
hex31830f0

51917040 has 120 divisors (see below), whose sum is σ = 199281888. Its totient is φ = 11865600.

The previous prime is 51917023. The next prime is 51917057. The reversal of 51917040 is 4071915.

It is an interprime number because it is at equal distance from previous prime (51917023) and next prime (51917057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51916995 and 51917013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111 + ... + 10190.

Almost surely, 251917040 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 51917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99640944).

51917040 is an abundant number, since it is smaller than the sum of its proper divisors (147364848).

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

51917040 is a wasteful number, since it uses less digits than its factorization.

51917040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51917040 is about 7205.3480138020. The cubic root of 51917040 is about 373.0525170013.

Adding to 51917040 its reverse (4071915), we get a palindrome (55988955).

The spelling of 51917040 in words is "fifty-one million, nine hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 10301 20602 30903 41204 51505 61806 72107 82408 92709 103010 123612 144214 154515 164816 185418 206020 216321 247224 288428 309030 360535 370836 412040 432642 463545 494448 576856 618060 648963 721070 741672 824080 865284 927090 1081605 1153712 1236120 1297926 1442140 1483344 1730568 1854180 2163210 2472240 2595852 2884280 3244815 3461136 3708360 4326420 5191704 5768560 6489630 7416720 8652840 10383408 12979260 17305680 25958520 51917040