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4097016 = 2332711739
BaseRepresentation
bin1111101000001111111000
321201011001100
433220033320
52022101031
6223451400
746552440
oct17501770
97634040
104097016
112349170
121456b60
13b05a91
14789120
1555dde6
hex3e83f8

4097016 has 96 divisors (see below), whose sum is σ = 13852800. Its totient is φ = 1062720.

The previous prime is 4096999. The next prime is 4097021. The reversal of 4097016 is 6107904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5175 + ... + 5913.

It is an arithmetic number, because the mean of its divisors is an integer number (144300).

Almost surely, 24097016 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 4097016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926400).

4097016 is an abundant number, since it is smaller than the sum of its proper divisors (9755784).

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

4097016 is a wasteful number, since it uses less digits than its factorization.

4097016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4097016 is about 2024.1086927337. The cubic root of 4097016 is about 160.0132280730.

The spelling of 4097016 in words is "four million, ninety-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 739 792 924 1386 1478 1848 2217 2772 2956 4434 5173 5544 5912 6651 8129 8868 10346 13302 15519 16258 17736 20692 24387 26604 31038 32516 41384 46557 48774 53208 56903 62076 65032 73161 93114 97548 113806 124152 146322 170709 186228 195096 227612 292644 341418 372456 455224 512127 585288 682836 1024254 1365672 2048508 4097016