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55805640 = 23351167631
BaseRepresentation
bin1101010011100…
…0011011001000
310220000012221120
43110320123020
5103241240030
65312035240
71245224442
oct324703310
9126005846
1055805640
1129556670
1216832b20
13b73bab7
1475a9492
154d75010
hex35386c8

55805640 has 128 divisors (see below), whose sum is σ = 185656320. Its totient is φ = 13305600.

The previous prime is 55805639. The next prime is 55805663. The reversal of 55805640 is 4650855.

It is a super-2 number, since 2×558056402 = 6228538911619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88125 + ... + 88755.

It is an arithmetic number, because the mean of its divisors is an integer number (1450440).

Almost surely, 255805640 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 55805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92828160).

55805640 is an abundant number, since it is smaller than the sum of its proper divisors (129850680).

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

55805640 is a wasteful number, since it uses less digits than its factorization.

55805640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55805640 is about 7470.3172623390. The cubic root of 55805640 is about 382.1431076616.

It can be divided in two parts, 558056 and 40, that added together give a triangular number (558096 = T1056).

The spelling of 55805640 in words is "fifty-five million, eight hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 631 660 670 737 804 1005 1262 1320 1340 1474 1608 1893 2010 2211 2524 2680 2948 3155 3685 3786 4020 4422 5048 5896 6310 6941 7370 7572 8040 8844 9465 11055 12620 13882 14740 15144 17688 18930 20823 22110 25240 27764 29480 34705 37860 41646 42277 44220 55528 69410 75720 83292 84554 88440 104115 126831 138820 166584 169108 208230 211385 253662 277640 338216 416460 422770 465047 507324 634155 832920 845540 930094 1014648 1268310 1395141 1691080 1860188 2325235 2536620 2790282 3720376 4650470 5073240 5580564 6975705 9300940 11161128 13951410 18601880 27902820 55805640