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98035668 = 223217198431
BaseRepresentation
bin1011101011111…
…10011111010100
320211110201122200
411311332133110
5200044120133
613421124500
72300201163
oct565763724
9224421580
1098035668
115037a715
12289b9730
1317406693
14d03d3da
158917913
hex5d7e7d4

98035668 has 72 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 29134080.

The previous prime is 98035627. The next prime is 98035711. The reversal of 98035668 is 86653089.

98035668 is a `hidden beast` number, since 9 + 80 + 3 + 566 + 8 = 666.

It is a super-2 number, since 2×980356682 = 19221984400412448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7413 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 298035668 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 98035668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

98035668 is an abundant number, since it is smaller than the sum of its proper divisors (178196652).

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

98035668 is a wasteful number, since it uses less digits than its factorization.

98035668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8477 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 98035668 is about 9901.2962787708. The cubic root of 98035668 is about 461.0995561090.

The spelling of 98035668 in words is "ninety-eight million, thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 8431 11628 16862 25293 33724 50586 75879 101172 143327 151758 160189 286654 303516 320378 429981 480567 573308 640756 859962 961134 1289943 1441701 1719924 1922268 2579886 2723213 2883402 5159772 5446426 5766804 8169639 10892852 16339278 24508917 32678556 49017834 98035668