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998006148 = 22321712772
BaseRepresentation
bin111011011111000…
…101110110000100
32120112220222001200
4323133011312010
54020442144043
6243010422500
733505624626
oct7337056604
92515828050
10998006148
11472391877
1223a291a30
1312b9bc7a9
149678cc16
155c93a7d3
hex3b7c5d84

998006148 has 54 divisors (see below), whose sum is σ = 2673227466. Its totient is φ = 312854784.

The previous prime is 998006147. The next prime is 998006159. The reversal of 998006148 is 841600899.

It can be written as a sum of positive squares in 3 ways, for example, as 414203904 + 583802244 = 20352^2 + 24162^2 .

It is not an unprimeable number, because it can be changed into a prime (998006147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 780886 + ... + 782162.

Almost surely, 2998006148 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 998006148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336613733).

998006148 is an abundant number, since it is smaller than the sum of its proper divisors (1675221318).

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

998006148 is a wasteful number, since it uses less digits than its factorization.

998006148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 998006148 is about 31591.2353034825. The cubic root of 998006148 is about 999.3349404605.

The spelling of 998006148 in words is "nine hundred ninety-eight million, six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1277 2554 3831 5108 7662 11493 15324 21709 22986 43418 45972 65127 86836 130254 195381 260508 390762 781524 1630729 3261458 4892187 6522916 9784374 14676561 19568748 27722393 29353122 55444786 58706244 83167179 110889572 166334358 249501537 332668716 499003074 998006148