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51002880 = 293529229
BaseRepresentation
bin1100001010001…
…1111000000000
310112222012210120
43002203320000
5101024043010
65021100240
71156342305
oct302437000
9115865716
1051002880
1126876245
12150b7680
13a749a26
146ab90ac
154726e70
hex30a3e00

51002880 has 160 divisors (see below), whose sum is σ = 169408800. Its totient is φ = 13074432.

The previous prime is 51002869. The next prime is 51002899. The reversal of 51002880 is 8820015.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51002880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222606 + ... + 222834.

It is an arithmetic number, because the mean of its divisors is an integer number (1058805).

Almost surely, 251002880 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 51002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84704400).

51002880 is an abundant number, since it is smaller than the sum of its proper divisors (118405920).

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

51002880 is a wasteful number, since it uses less digits than its factorization.

51002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51002880 is about 7141.6300660283. The cubic root of 51002880 is about 370.8499573689.

Adding to 51002880 its reverse (8820015), we get a palindrome (59822895).

The spelling of 51002880 in words is "fifty-one million, two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 229 232 240 256 290 320 348 384 435 458 464 480 512 580 640 687 696 768 870 916 928 960 1145 1160 1280 1374 1392 1536 1740 1832 1856 1920 2290 2320 2560 2748 2784 3435 3480 3664 3712 3840 4580 4640 5496 5568 6641 6870 6960 7328 7424 7680 9160 9280 10992 11136 13282 13740 13920 14656 14848 18320 18560 19923 21984 22272 26564 27480 27840 29312 33205 36640 37120 39846 43968 44544 53128 54960 55680 58624 66410 73280 74240 79692 87936 99615 106256 109920 111360 117248 132820 146560 159384 175872 199230 212512 219840 222720 265640 293120 318768 351744 398460 425024 439680 531280 586240 637536 796920 850048 879360 1062560 1275072 1593840 1700096 1758720 2125120 2550144 3187680 3400192 4250240 5100288 6375360 8500480 10200576 12750720 17000960 25501440 51002880