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55751520 = 25351110559
BaseRepresentation
bin1101010010101…
…1001101100000
310212220110201010
43110223031200
5103233022040
65310540520
71244610606
oct324531540
9125813633
1055751520
1129519a40
1216807740
13b720286
147593876
154d63e80
hex352b360

55751520 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 13514240.

The previous prime is 55751497. The next prime is 55751533. The reversal of 55751520 is 2515755.

55751520 is a nontrivial binomial coefficient, being equal to C(10560, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1 + ... + 10559.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 255751520 is an apocalyptic number.

55751520 is the 10559-th triangular number and also the 5280-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55751520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

55751520 is an abundant number, since it is smaller than the sum of its proper divisors (135849120).

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

55751520 is a wasteful number, since it uses less digits than its factorization.

55751520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 55751520 is about 7466.6940475688. The cubic root of 55751520 is about 382.0195342843.

The spelling of 55751520 in words is "fifty-five million, seven hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 10559 21118 31677 42236 52795 63354 84472 105590 116149 126708 158385 168944 211180 232298 253416 316770 337888 348447 422360 464596 506832 580745 633540 696894 844720 929192 1013664 1161490 1267080 1393788 1689440 1742235 1858384 2322980 2534160 2787576 3484470 3716768 4645960 5068320 5575152 6968940 9291920 11150304 13937880 18583840 27875760 55751520