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990228288 = 26373123767
BaseRepresentation
bin111011000001011…
…010111101000000
32120000021210211210
4323001122331000
54011444301123
6242132010120
733352541640
oct7301327500
92500253753
10990228288
11468a5a195
12237760940
1312a1c84ca
1495726520
155be00e93
hex3b05af40

990228288 has 112 divisors (see below), whose sum is σ = 3090980864. Its totient is φ = 273784320.

The previous prime is 990228259. The next prime is 990228313. The reversal of 990228288 is 882822099.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 29781 + ... + 53547.

Almost surely, 2990228288 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 990228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545490432).

990228288 is an abundant number, since it is smaller than the sum of its proper divisors (2100752576).

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

990228288 is a wasteful number, since it uses less digits than its factorization.

990228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 990228288 is about 31467.8929704548. The cubic root of 990228288 is about 996.7320950971.

The spelling of 990228288 in words is "nine hundred ninety million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 23767 41664 47534 71301 95068 142602 166369 190136 285204 332738 380272 499107 570408 665476 736777 760544 998214 1140816 1330952 1473554 1521088 1996428 2210331 2281632 2661904 2947108 3992856 4420662 4563264 5157439 5323808 5894216 7985712 8841324 10314878 10647616 11788432 15472317 15971424 17682648 20629756 23576864 30944634 31942848 35365296 41259512 47153728 61889268 70730592 82519024 123778536 141461184 165038048 247557072 330076096 495114144 990228288