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2104827408 = 24321572593
BaseRepresentation
bin111110101110101…
…0001111000010000
312102200121022101200
41331131101320100
513302313434113
6544505431200
7103105511025
oct17535217020
95380538350
102104827408
11990135a92
124a8a9b500
132770bb208
1415d78554c
15c4bbc873
hex7d751e10

2104827408 has 90 divisors (see below), whose sum is σ = 5938349274. Its totient is φ = 695964672.

The previous prime is 2104827401. The next prime is 2104827421. The reversal of 2104827408 is 8047284012.

It can be written as a sum of positive squares in 3 ways, for example, as 116380944 + 1988446464 = 10788^2 + 44592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2104827401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3549160 + ... + 3549752.

Almost surely, 22104827408 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 2104827408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969174637).

2104827408 is an abundant number, since it is smaller than the sum of its proper divisors (3833521866).

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

2104827408 is a wasteful number, since it uses less digits than its factorization.

2104827408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2104827408 is about 45878.3980539861. The cubic root of 2104827408 is about 1281.5596645509.

The spelling of 2104827408 in words is "two billion, one hundred four million, eight hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 593 628 942 1186 1256 1413 1779 1884 2372 2512 2826 3558 3768 4744 5337 5652 7116 7536 9488 10674 11304 14232 21348 22608 24649 28464 42696 49298 73947 85392 93101 98596 147894 186202 197192 221841 279303 295788 372404 394384 443682 558606 591576 744808 837909 887364 1117212 1183152 1489616 1675818 1774728 2234424 3351636 3549456 4468848 6703272 13406544 14616857 29233714 43850571 58467428 87701142 116934856 131551713 175402284 233869712 263103426 350804568 526206852 701609136 1052413704 2104827408