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55844880 = 24357132557
BaseRepresentation
bin1101010100001…
…0000000010000
310220002012202220
43111002000100
5103244014010
65312541040
71245450030
oct325020020
9126065686
1055844880
11295830a3
1216851780
13b753910
1475b98c0
154d81970
hex3542010

55844880 has 160 divisors (see below), whose sum is σ = 213153024. Its totient is φ = 11778048.

The previous prime is 55844879. The next prime is 55844891. The reversal of 55844880 is 8844855.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20562 + ... + 23118.

Almost surely, 255844880 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 55844880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106576512).

55844880 is an abundant number, since it is smaller than the sum of its proper divisors (157308144).

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

55844880 is a wasteful number, since it uses less digits than its factorization.

55844880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 55844880 is about 7472.9431952879. The cubic root of 55844880 is about 382.2326552548.

The spelling of 55844880 in words is "fifty-five million, eight hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2557 2730 3120 3640 4368 5114 5460 7280 7671 10228 10920 12785 15342 17899 20456 21840 25570 30684 33241 35798 38355 40912 51140 53697 61368 66482 71596 76710 89495 99723 102280 107394 122736 132964 143192 153420 166205 178990 199446 204560 214788 232687 265928 268485 286384 306840 332410 357980 398892 429576 465374 498615 531856 536970 613680 664820 698061 715960 797784 859152 930748 997230 1073940 1163435 1329640 1396122 1431920 1595568 1861496 1994460 2147880 2326870 2659280 2792244 3490305 3722992 3988920 4295760 4653740 5584488 6980610 7977840 9307480 11168976 13961220 18614960 27922440 55844880