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612664080 = 24357675443
BaseRepresentation
bin100100100001001…
…000001100010000
31120200211120010020
4210201020030100
52223320222310
6140443303440
721116362440
oct4441101420
91520746106
10612664080
11294918656
1215121ab80
1399c10c32
145b522120
1538bc0170
hex24848310

612664080 has 160 divisors (see below), whose sum is σ = 2203382784. Its totient is φ = 137922048.

The previous prime is 612664079. The next prime is 612664097. The reversal of 612664080 is 80466216.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109839 + ... + 115281.

Almost surely, 2612664080 is an apocalyptic number.

612664080 is a gapful number since it is divisible by the number (60) 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 612664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101691392).

612664080 is an abundant number, since it is smaller than the sum of its proper divisors (1590718704).

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

612664080 is a wasteful number, since it uses less digits than its factorization.

612664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 612664080 is about 24752.0520361444. The cubic root of 612664080 is about 849.3254532979.

The spelling of 612664080 in words is "six hundred twelve million, six hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4690 5360 5443 5628 7035 7504 8040 9380 10886 11256 14070 16080 16329 18760 21772 22512 27215 28140 32658 37520 38101 43544 54430 56280 65316 76202 81645 87088 108860 112560 114303 130632 152404 163290 190505 217720 228606 261264 304808 326580 364681 381010 435440 457212 571515 609616 653160 729362 762020 914424 1094043 1143030 1306320 1458724 1524040 1823405 1828848 2188086 2286060 2552767 2917448 3048080 3646810 4376172 4572120 5105534 5470215 5834896 7293620 7658301 8752344 9144240 10211068 10940430 12763835 14587240 15316602 17504688 20422136 21880860 25527670 29174480 30633204 38291505 40844272 43761720 51055340 61266408 76583010 87523440 102110680 122532816 153166020 204221360 306332040 612664080