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990158848 = 213731557
BaseRepresentation
bin111011000001001…
…010000000000000
32120000011021120221
4323001022000000
54011440040343
6242130312424
733352132330
oct7301120000
92500137527
10990158848
11468a11aa8
12237728714
1312a1a2a13
14957090c0
155bdda5ed
hex3b04a000

990158848 has 112 divisors (see below), whose sum is σ = 2340278784. Its totient is φ = 409927680.

The previous prime is 990158833. The next prime is 990158849. The reversal of 990158848 is 848851099.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 990158795 and 990158804.

It is not an unprimeable number, because it can be changed into a prime (990158849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777386 + ... + 1777942.

Almost surely, 2990158848 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 990158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170139392).

990158848 is an abundant number, since it is smaller than the sum of its proper divisors (1350119936).

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

990158848 is an equidigital number, since it uses as much as digits as its factorization.

990158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The square root of 990158848 is about 31466.7896042796. The cubic root of 990158848 is about 996.7087958588.

The spelling of 990158848 in words is "nine hundred ninety million, one hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 557 868 896 992 1024 1114 1736 1792 1984 2048 2228 3472 3584 3899 3968 4096 4456 6944 7168 7798 7936 8192 8912 13888 14336 15596 15872 17267 17824 27776 28672 31192 31744 34534 35648 55552 57344 62384 63488 69068 71296 111104 120869 124768 126976 138136 142592 222208 241738 249536 253952 276272 285184 444416 483476 499072 552544 570368 888832 966952 998144 1105088 1140736 1777664 1933904 1996288 2210176 2281472 3867808 3992576 4420352 4562944 7735616 7985152 8840704 15471232 15970304 17681408 30942464 31940608 35362816 61884928 70725632 123769856 141451264 247539712 495079424 990158848