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1906894224 = 243412132
BaseRepresentation
bin111000110101000…
…1110010110010000
311220220011021010000
41301222032112100
512401131103344
6513115210000
765153222244
oct16152162620
94826137100
101906894224
11899434944
12452746900
132450a88a1
14141380424
15b2620a69
hex71a8e590

1906894224 has 75 divisors (see below), whose sum is σ = 5523658833. Its totient is φ = 635107392.

The previous prime is 1906894193. The next prime is 1906894259. The reversal of 1906894224 is 4224986091.

The square root of 1906894224 is 43668.

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., 77792400 + 1829101824 = 8820^2 + 42768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1906894224.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1571442 + ... + 1572654.

Almost surely, 21906894224 is an apocalyptic number.

1906894224 is the 43668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906894224

1906894224 is an abundant number, since it is smaller than the sum of its proper divisors (3616764609).

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

1906894224 is an frugal number, since it uses more digits than its factorization.

1906894224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 1906894224 is about 1240.0585785715.

The spelling of 1906894224 in words is "one billion, nine hundred six million, eight hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1213 1296 2426 3639 4852 7278 9704 10917 14556 19408 21834 29112 32751 43668 58224 65502 87336 98253 131004 174672 196506 262008 393012 524016 786024 1471369 1572048 2942738 4414107 5885476 8828214 11770952 13242321 17656428 23541904 26484642 35312856 39726963 52969284 70625712 79453926 105938568 119180889 158907852 211877136 238361778 317815704 476723556 635631408 953447112 1906894224