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890444992 = 2631597607
BaseRepresentation
bin110101000100110…
…001110011000000
32022001112021220011
4311010301303000
53310423214432
6224205154304
731031441353
oct6504616300
92261467804
10890444992
114176a6558
1220a25b994
1311262c538
148639029a
1553290847
hex35131cc0

890444992 has 56 divisors (see below), whose sum is σ = 1855134720. Its totient is φ = 423502080.

The previous prime is 890444983. The next prime is 890445001. The reversal of 890444992 is 299444098.

It is an interprime number because it is at equal distance from previous prime (890444983) and next prime (890445001).

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, 113253 + ... + 120859.

Almost surely, 2890444992 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 890444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927567360).

890444992 is an abundant number, since it is smaller than the sum of its proper divisors (964689728).

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

890444992 is a wasteful number, since it uses less digits than its factorization.

890444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 890444992 is about 29840.3249312068. The cubic root of 890444992 is about 962.0604587098.

The spelling of 890444992 in words is "eight hundred ninety million, four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 236 248 472 496 944 992 1829 1888 1984 3658 3776 7316 7607 14632 15214 29264 30428 58528 60856 117056 121712 235817 243424 448813 471634 486848 897626 943268 1795252 1886536 3590504 3773072 7181008 7546144 13913203 14362016 15092288 27826406 28724032 55652812 111305624 222611248 445222496 890444992