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2987424 = 2532112341
BaseRepresentation
bin1011011001010110100000
312121202222100
423121112200
51231044144
6144010400
734251456
oct13312640
95552870
102987424
111760550
121000a00
13807a0b
1457a9d6
153e0269
hex2d95a0

2987424 has 144 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 844800.

The previous prime is 2987407. The next prime is 2987429. The reversal of 2987424 is 4247892.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 25 + 9 + 87 + 77 + 45 + 27 + 48 .

It is not an unprimeable number, because it can be changed into a prime (2987429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72844 + ... + 72884.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22987424 is an apocalyptic number.

2987424 is a gapful number since it is divisible by the number (24) 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 2987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2987424 is an abundant number, since it is smaller than the sum of its proper divisors (6919200).

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

2987424 is a wasteful number, since it uses less digits than its factorization.

2987424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2987424 is about 1728.4166164441. The cubic root of 2987424 is about 144.0231444281.

The spelling of 2987424 in words is "two million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 41 44 46 48 66 69 72 82 88 92 96 99 123 132 138 144 164 176 184 198 207 246 253 264 276 288 328 352 368 369 396 414 451 492 506 528 552 656 736 738 759 792 828 902 943 984 1012 1056 1104 1312 1353 1476 1518 1584 1656 1804 1886 1968 2024 2208 2277 2706 2829 2952 3036 3168 3312 3608 3772 3936 4048 4059 4554 5412 5658 5904 6072 6624 7216 7544 8096 8118 8487 9108 10373 10824 11316 11808 12144 14432 15088 16236 16974 18216 20746 21648 22632 24288 30176 31119 32472 33948 36432 41492 43296 45264 62238 64944 67896 72864 82984 90528 93357 124476 129888 135792 165968 186714 248952 271584 331936 373428 497904 746856 995808 1493712 2987424