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906250816 = 26532712
BaseRepresentation
bin110110000001000…
…100101001000000
32100011021022102001
4312001010221000
53324000011231
6225532033344
731313001442
oct6601045100
92304238361
10906250816
11425611719
12213602854
131159a48b3
1488506492
1554863b61
hex36044a40

906250816 has 63 divisors (see below), whose sum is σ = 1859091913. Its totient is φ = 438314240.

The previous prime is 906250801. The next prime is 906250817. The reversal of 906250816 is 618052609.

The square root of 906250816 is 30104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 653313600 + 252937216 = 25560^2 + 15904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906250817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12764061 + ... + 12764131.

Almost surely, 2906250816 is an apocalyptic number.

906250816 is the 30104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906250816

906250816 is an abundant number, since it is smaller than the sum of its proper divisors (952841097).

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

906250816 is an frugal number, since it uses more digits than its factorization.

906250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 906250816 is about 967.7194506061.

The spelling of 906250816 in words is "nine hundred six million, two hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 71 106 142 212 284 424 568 848 1136 1696 2272 2809 3392 3763 4544 5041 5618 7526 10082 11236 15052 20164 22472 30104 40328 44944 60208 80656 89888 120416 161312 179776 199439 240832 267173 322624 398878 534346 797756 1068692 1595512 2137384 3191024 4274768 6382048 8549536 12764096 14160169 17099072 28320338 56640676 113281352 226562704 453125408 906250816