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990948 = 223747251
BaseRepresentation
bin11110001111011100100
31212100022210
43301323210
5223202243
633123420
711265030
oct3617344
91770283
10990948
11617572
123b9570
1328907a
141bb1c0
15148933
hexf1ee4

990948 has 48 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 276000.

The previous prime is 990923. The next prime is 990953. The reversal of 990948 is 849099.

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, 3823 + ... + 4073.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

2990948 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 990948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

990948 is an abundant number, since it is smaller than the sum of its proper divisors (1718556).

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

990948 is a wasteful number, since it uses less digits than its factorization.

990948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 990948 is about 995.4637110412. The cubic root of 990948 is about 99.6973516304.

The spelling of 990948 in words is "nine hundred ninety thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 251 282 329 502 564 658 753 987 1004 1316 1506 1757 1974 3012 3514 3948 5271 7028 10542 11797 21084 23594 35391 47188 70782 82579 141564 165158 247737 330316 495474 990948