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8980992 = 29321949
BaseRepresentation
bin100010010000…
…101000000000
3121220021121100
4202100220000
54244342432
6520254400
7136223436
oct42205000
917807540
108980992
115084609
123011400
131b25ac7
14129ad56
15bc607c
hex890a00

8980992 has 60 divisors (see below), whose sum is σ = 25933050. Its totient is φ = 2992128.

The previous prime is 8980991. The next prime is 8980997. The reversal of 8980992 is 2990898.

It can be written as a sum of positive squares in only one way, i.e., 6471936 + 2509056 = 2544^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (8980991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3634 + ... + 5582.

Almost surely, 28980992 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 8980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966525).

8980992 is an abundant number, since it is smaller than the sum of its proper divisors (16952058).

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

8980992 is a wasteful number, since it uses less digits than its factorization.

8980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8980992 is about 2996.8303255273. The cubic root of 8980992 is about 207.8618411906.

The spelling of 8980992 in words is "eight million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 1949 2304 3898 4608 5847 7796 11694 15592 17541 23388 31184 35082 46776 62368 70164 93552 124736 140328 187104 249472 280656 374208 498944 561312 748416 997888 1122624 1496832 2245248 2993664 4490496 8980992