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890425600 = 28523732
BaseRepresentation
bin110101000100101…
…101000100000000
32022001111022021221
4311010231010000
53310422104400
6224204524424
731031331001
oct6504550400
92261438257
10890425600
11417692a29
1220a250714
1311262376c
14863871a8
1553289c1a
hex3512d100

890425600 has 81 divisors (see below), whose sum is σ = 2209867023. Its totient is φ = 355215360.

The previous prime is 890425589. The next prime is 890425607. The reversal of 890425600 is 6524098.

It is a happy number.

The square root of 890425600 is 29840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 881852416 = 2928^2 + 29696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890425607) 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, 2387014 + ... + 2387386.

Almost surely, 2890425600 is an apocalyptic number.

890425600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

890425600 is the 29840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890425600

890425600 is an abundant number, since it is smaller than the sum of its proper divisors (1319441423).

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

890425600 is an frugal number, since it uses more digits than its factorization.

890425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 890425600 is about 962.0534747815.

Adding to 890425600 its reverse (6524098), we get a palindrome (896949698).

The spelling of 890425600 in words is "eight hundred ninety million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 373 400 640 746 800 1280 1492 1600 1865 2984 3200 3730 5968 6400 7460 9325 11936 14920 18650 23872 29840 37300 47744 59680 74600 95488 119360 139129 149200 238720 278258 298400 477440 556516 596800 695645 1113032 1193600 1391290 2226064 2387200 2782580 3478225 4452128 5565160 6956450 8904256 11130320 13912900 17808512 22260640 27825800 35617024 44521280 55651600 89042560 111303200 178085120 222606400 445212800 890425600