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1613896488 = 23343783811
BaseRepresentation
bin110000000110010…
…0001101100101000
311011110211102210000
41200030201230220
511301124141423
6424051223000
754664615401
oct14014415450
94143742700
101613896488
11759003356
123905a7a60
131c9490049
141144b09a8
1596a46843
hex60321b28

1613896488 has 160 divisors (see below), whose sum is σ = 4704305760. Its totient is φ = 516481920.

The previous prime is 1613896477. The next prime is 1613896577. The reversal of 1613896488 is 8846983161.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1989603 + ... + 1990413.

It is an arithmetic number, because the mean of its divisors is an integer number (29401911).

Almost surely, 21613896488 is an apocalyptic number.

1613896488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613896488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352152880).

1613896488 is an abundant number, since it is smaller than the sum of its proper divisors (3090409272).

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

1613896488 is a wasteful number, since it uses less digits than its factorization.

1613896488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1613896488 is about 40173.3305564774. The cubic root of 1613896488 is about 1172.9834705712.

The spelling of 1613896488 in words is "one billion, six hundred thirteen million, eight hundred ninety-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 83 108 111 148 162 166 216 222 249 296 324 332 333 444 498 648 664 666 747 811 888 996 999 1332 1494 1622 1992 1998 2241 2433 2664 2988 2997 3071 3244 3996 4482 4866 5976 5994 6142 6488 6723 7299 7992 8964 9213 9732 11988 12284 13446 14598 17928 18426 19464 21897 23976 24568 26892 27639 29196 30007 36852 43794 53784 55278 58392 60014 65691 67313 73704 82917 87588 90021 110556 120028 131382 134626 165834 175176 180042 201939 221112 240056 248751 262764 269252 270063 331668 360084 403878 497502 525528 538504 540126 605817 663336 720168 807756 810189 995004 1080252 1211634 1615512 1620378 1817451 1990008 2160504 2423268 2430567 2490581 3240756 3634902 4846536 4861134 4981162 5452353 6481512 7269804 7471743 9722268 9962324 10904706 14539608 14943486 19444536 19924648 21809412 22415229 29886972 43618824 44830458 59773944 67245687 89660916 134491374 179321832 201737061 268982748 403474122 537965496 806948244 1613896488