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51289680 = 24351317967
BaseRepresentation
bin1100001110100…
…1111001010000
310120111210012210
43003221321100
5101112232210
65031152120
71161645411
oct303517120
9116453183
1051289680
1126a51772
1215215640
13a81a430
146b51808
154781e20
hex30e9e50

51289680 has 160 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 11870208.

The previous prime is 51289673. The next prime is 51289681. The reversal of 51289680 is 8698215.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51289681) 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, 52557 + ... + 53523.

Almost surely, 251289680 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 51289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

51289680 is an abundant number, since it is smaller than the sum of its proper divisors (130198704).

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

51289680 is a wasteful number, since it uses less digits than its factorization.

51289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 51289680 is about 7161.6813668300. The cubic root of 51289680 is about 371.5437811104.

The spelling of 51289680 in words is "fifty-one million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 967 1020 1040 1105 1326 1360 1560 1768 1934 2040 2210 2652 2901 3120 3315 3536 3868 4080 4420 4835 5304 5802 6630 7736 8840 9670 10608 11604 12571 13260 14505 15472 16439 17680 19340 23208 25142 26520 29010 32878 37713 38680 46416 49317 50284 53040 58020 62855 65756 75426 77360 82195 98634 100568 116040 125710 131512 150852 164390 188565 197268 201136 213707 232080 246585 251420 263024 301704 328780 377130 394536 427414 493170 502840 603408 641121 657560 754260 789072 854828 986340 1005680 1068535 1282242 1315120 1508520 1709656 1972680 2137070 2564484 3017040 3205605 3419312 3945360 4274140 5128968 6411210 8548280 10257936 12822420 17096560 25644840 51289680