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55141268 = 227213171967
BaseRepresentation
bin1101001001011…
…0001110010100
310211202110121012
43102112032110
5103104010033
65245511352
71236456500
oct322261624
9124673535
1055141268
11291424a6
1216572558
13b568590
147475300
154c93248
hex3496394

55141268 has 144 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 19160064.

The previous prime is 55141243. The next prime is 55141277. The reversal of 55141268 is 86214155.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822971 + ... + 823037.

It is an arithmetic number, because the mean of its divisors is an integer number (949620).

Almost surely, 255141268 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 55141268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

55141268 is an abundant number, since it is smaller than the sum of its proper divisors (81604012).

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

55141268 is a wasteful number, since it uses less digits than its factorization.

55141268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 55141268 is about 7425.7166657502. The cubic root of 55141268 is about 380.6205649723.

The spelling of 55141268 in words is "fifty-five million, one hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 19 26 28 34 38 49 52 67 68 76 91 98 119 133 134 182 196 221 238 247 266 268 323 364 442 469 476 494 532 637 646 833 871 884 931 938 988 1139 1273 1274 1292 1547 1666 1729 1742 1862 1876 2261 2278 2546 2548 3094 3283 3332 3458 3484 3724 4199 4522 4556 5092 6097 6188 6566 6916 7973 8398 8911 9044 10829 12103 12194 13132 14807 15827 15946 16549 16796 17822 21641 21658 24206 24388 29393 29614 31654 31892 33098 35644 42679 43282 43316 48412 55811 58786 59228 62377 63308 66196 85358 86564 103649 111622 115843 117572 124754 151487 170716 205751 207298 223244 231686 249508 281333 302974 411502 414596 463372 562666 605948 725543 810901 823004 1060409 1125332 1451086 1621802 1969331 2120818 2902172 3243604 3938662 4241636 7877324 13785317 27570634 55141268