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427699104 = 25372392663
BaseRepresentation
bin11001011111100…
…010101110100000
31002210210100212120
4121133202232200
51333442332404
6110235024240
713412245110
oct3137425640
91083710776
10427699104
111aa474738
12bb29b080
136a7bc1c1
1440b35040
15278359d9
hex197e2ba0

427699104 has 96 divisors (see below), whose sum is σ = 1288949760. Its totient is φ = 121642752.

The previous prime is 427699079. The next prime is 427699117. The reversal of 427699104 is 401996724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159277 + ... + 161939.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 2427699104 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 427699104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644474880).

427699104 is an abundant number, since it is smaller than the sum of its proper divisors (861250656).

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

427699104 is a wasteful number, since it uses less digits than its factorization.

427699104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 427699104 is about 20680.8874084262. The cubic root of 427699104 is about 753.4355594343.

The spelling of 427699104 in words is "four hundred twenty-seven million, six hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2663 2868 3346 3824 5019 5326 5736 6692 7648 7989 10038 10652 11472 13384 15978 18641 20076 21304 22944 26768 31956 37282 40152 42608 53536 55923 63912 74564 80304 85216 111846 127824 149128 160608 223692 255648 298256 447384 596512 636457 894768 1272914 1789536 1909371 2545828 3818742 4455199 5091656 7637484 8910398 10183312 13365597 15274968 17820796 20366624 26731194 30549936 35641592 53462388 61099872 71283184 106924776 142566368 213849552 427699104