Search a number
-
+
890038016 = 287796287
BaseRepresentation
bin110101000011001…
…110011100000000
32022000202121121222
4311003032130000
53310322204031
6224152334212
731025125010
oct6503163400
92260677558
10890038016
1141744880a
1220a0a4368
1311251921a
14862c5c40
155320ee7b
hex350ce700

890038016 has 72 divisors (see below), whose sum is σ = 2056427520. Its totient is φ = 376556544.

The previous prime is 890038001. The next prime is 890038081. The reversal of 890038016 is 610830098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138425 + ... + 144711.

Almost surely, 2890038016 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 890038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028213760).

890038016 is an abundant number, since it is smaller than the sum of its proper divisors (1166389504).

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

890038016 is an equidigital number, since it uses as much as digits as its factorization.

890038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 890038016 is about 29833.5049231564. The cubic root of 890038016 is about 961.9138671419.

The spelling of 890038016 in words is "eight hundred ninety million, thirty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 553 632 896 1106 1264 1792 2212 2528 4424 5056 6287 8848 10112 12574 17696 20224 25148 35392 44009 50296 70784 88018 100592 141568 176036 201184 352072 402368 496673 704144 804736 993346 1408288 1609472 1986692 2816576 3476711 3973384 5633152 6953422 7946768 11266304 13906844 15893536 27813688 31787072 55627376 63574144 111254752 127148288 222509504 445019008 890038016