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80426640 = 243573977
BaseRepresentation
bin1001100101100…
…11011010010000
312121100002121110
410302303122100
5131042123030
611551453320
71664421000
oct462633220
9177302543
1080426640
11414427a8
1222b27240
131387c638
14a978000
1570da1b0
hex4cb3690

80426640 has 160 divisors (see below), whose sum is σ = 291052800. Its totient is φ = 18364416.

The previous prime is 80426611. The next prime is 80426663. The reversal of 80426640 is 4662408.

80426640 = 3032 + 3042 + ... + 6452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80426598 and 80426607.

It is a congruent 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, 81832 + ... + 82808.

It is an arithmetic number, because the mean of its divisors is an integer number (1819080).

Almost surely, 280426640 is an apocalyptic number.

80426640 is a gapful number since it is divisible by the number (80) 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 80426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145526400).

80426640 is an abundant number, since it is smaller than the sum of its proper divisors (210626160).

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

80426640 is a wasteful number, since it uses less digits than its factorization.

80426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 80426640 is about 8968.0900976741. The cubic root of 80426640 is about 431.6515537279.

The spelling of 80426640 in words is "eighty million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 977 980 1029 1176 1372 1470 1680 1715 1954 1960 2058 2352 2744 2931 2940 3430 3908 3920 4116 4885 5145 5488 5862 5880 6839 6860 7816 8232 9770 10290 11724 11760 13678 13720 14655 15632 16464 19540 20517 20580 23448 27356 27440 29310 34195 39080 41034 41160 46896 47873 54712 58620 68390 78160 82068 82320 95746 102585 109424 117240 136780 143619 164136 191492 205170 234480 239365 273560 287238 328272 335111 382984 410340 478730 547120 574476 670222 718095 765968 820680 957460 1005333 1148952 1340444 1436190 1641360 1675555 1914920 2010666 2297904 2680888 2872380 3351110 3829840 4021332 5026665 5361776 5744760 6702220 8042664 10053330 11489520 13404440 16085328 20106660 26808880 40213320 80426640