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80013492 = 2232131789113
BaseRepresentation
bin1001100010011…
…10100010110100
312120120002212200
410301032202310
5130440412432
611534544500
71661050326
oct461164264
9176502780
1080013492
1141190359
1222968130
1313766580
14a8ab616
157057a7c
hex4c4e8b4

80013492 has 144 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 22708224.

The previous prime is 80013487. The next prime is 80013533. The reversal of 80013492 is 29431008.

It can be written as a sum of positive squares in 8 ways, for example, as 21123216 + 58890276 = 4596^2 + 7674^2 .

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, 708028 + ... + 708140.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 280013492 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 80013492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

80013492 is an abundant number, since it is smaller than the sum of its proper divisors (155268828).

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

80013492 is a wasteful number, since it uses less digits than its factorization.

80013492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80013492 is about 8945.0261039306. The cubic root of 80013492 is about 430.9111596721.

The spelling of 80013492 in words is "eighty million, thirteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 89 102 113 117 153 156 178 204 221 226 234 267 306 339 356 442 452 468 534 612 663 678 801 884 1017 1068 1157 1326 1356 1469 1513 1602 1921 1989 2034 2314 2652 2938 3026 3204 3471 3842 3978 4068 4407 4539 4628 5763 5876 6052 6942 7684 7956 8814 9078 10057 10413 11526 13221 13617 13884 17289 17628 18156 19669 20114 20826 23052 24973 26442 27234 30171 34578 39338 40228 41652 49946 52884 54468 59007 60342 69156 74919 78676 90513 99892 118014 120684 130741 149838 170969 177021 181026 224757 236028 261482 299676 341938 354042 362052 392223 449514 512907 522964 683876 708084 784446 899028 1025814 1176669 1538721 1568892 2051628 2222597 2353338 3077442 4445194 4706676 6154884 6667791 8890388 13335582 20003373 26671164 40006746 80013492