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55514580 = 223511192233
BaseRepresentation
bin1101001111000…
…1010111010100
310212110102200120
43103301113110
5103202431310
65301511540
71242603042
oct323612724
9125412616
1055514580
1129377a20
12167125b0
13b669484
147531392
154d18b70
hex34f15d4

55514580 has 144 divisors (see below), whose sum is σ = 179734464. Its totient is φ = 12695040.

The previous prime is 55514573. The next prime is 55514587. The reversal of 55514580 is 8541555.

It is an interprime number because it is at equal distance from previous prime (55514573) and next prime (55514587).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55514587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238144 + ... + 238376.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 255514580 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 55514580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

55514580 is an abundant number, since it is smaller than the sum of its proper divisors (124219884).

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

55514580 is a wasteful number, since it uses less digits than its factorization.

55514580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The square root of 55514580 is about 7450.8106941460. The cubic root of 55514580 is about 381.4775805073.

The spelling of 55514580 in words is "fifty-five million, five hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 233 285 330 361 380 418 466 570 627 660 699 722 836 932 1045 1083 1140 1165 1254 1398 1444 1805 2090 2166 2330 2508 2563 2796 3135 3495 3610 3971 4180 4332 4427 4660 5126 5415 6270 6990 7220 7689 7942 8854 10252 10830 11913 12540 12815 13281 13980 15378 15884 17708 19855 21660 22135 23826 25630 26562 30756 38445 39710 44270 47652 48697 51260 53124 59565 66405 76890 79420 84113 88540 97394 119130 132810 146091 153780 168226 194788 238260 243485 252339 265620 292182 336452 420565 486970 504678 584364 730455 841130 925243 973940 1009356 1261695 1460910 1682260 1850486 2523390 2775729 2921820 3700972 4626215 5046780 5551458 9252430 11102916 13878645 18504860 27757290 55514580