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80888040 = 233251713217
BaseRepresentation
bin1001101001001…
…00000011101000
312122012112112100
410310210003220
5131201404130
612005413400
72001352122
oct464440350
9178175470
1080888040
1141728422
122310a260
13139b165c
14aa58212
15717bc60
hex4d240e8

80888040 has 96 divisors (see below), whose sum is σ = 278371080. Its totient is φ = 20299776.

The previous prime is 80888029. The next prime is 80888051. The reversal of 80888040 is 4088808.

It is an interprime number because it is at equal distance from previous prime (80888029) and next prime (80888051).

It can be written as a sum of positive squares in 4 ways, for example, as 70660836 + 10227204 = 8406^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80887986 and 80888004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489 + ... + 12728.

Almost surely, 280888040 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 80888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139185540).

80888040 is an abundant number, since it is smaller than the sum of its proper divisors (197483040).

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

80888040 is a wasteful number, since it uses less digits than its factorization.

80888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13251 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 80888040 is about 8993.7778491577. Note that the first 3 decimals coincide. The cubic root of 80888040 is about 432.4754282319.

The spelling of 80888040 in words is "eighty million, eight hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 13217 26434 39651 52868 66085 79302 105736 118953 132170 158604 198255 224689 237906 264340 317208 396510 449378 475812 528680 594765 674067 793020 898756 951624 1123445 1189530 1348134 1586040 1797512 2022201 2246890 2379060 2696268 3370335 4044402 4493780 4758120 5392536 6740670 8088804 8987560 10111005 13481340 16177608 20222010 26962680 40444020 80888040