Search a number
-
+
890293248 = 21033132477
BaseRepresentation
bin110101000100001…
…100110000000000
32022001020120202000
4311010030300000
53310403340443
6224202024000
731030240065
oct6504146000
92261216660
10890293248
11417602549
1220a1a8000
131125a8450
1486350c6c
15532608d3
hex3510cc00

890293248 has 176 divisors, whose sum is σ = 2840580960. Its totient is φ = 273825792.

The previous prime is 890293237. The next prime is 890293259. The reversal of 890293248 is 842392098.

It is an interprime number because it is at equal distance from previous prime (890293237) and next prime (890293259).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358186 + ... + 360662.

Almost surely, 2890293248 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 890293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420290480).

890293248 is an abundant number, since it is smaller than the sum of its proper divisors (1950287712).

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

890293248 is a wasteful number, since it uses less digits than its factorization.

890293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2495 counting only the distinct ones).

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

The square root of 890293248 is about 29837.7822232149. The cubic root of 890293248 is about 962.0058061870.

The spelling of 890293248 in words is "eight hundred ninety million, two hundred ninety-three thousand, two hundred forty-eight".