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989000415 = 335131733149
BaseRepresentation
bin111010111100101…
…111001011011111
32112220222102112000
4322330233023133
54011141003130
6242045413343
733336236064
oct7274571337
92486872460
10989000415
114682a0717
1223726a253
13129b88660
14954c6c6b
155bc5c260
hex3af2f2df

989000415 has 64 divisors (see below), whose sum is σ = 2004912000. Its totient is φ = 458237952.

The previous prime is 989000413. The next prime is 989000431. The reversal of 989000415 is 514000989.

It is not a de Polignac number, because 989000415 - 21 = 989000413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 989000415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989000413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13261 + ... + 46409.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2989000415 is an apocalyptic number.

989000415 is the 19890-th heptagonal number.

989000415 is an abundant number, since it is smaller than the sum of its proper divisors (1015911585).

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

989000415 is a wasteful number, since it uses less digits than its factorization.

989000415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33193 (or 33187 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 989000415 is about 31448.3769851482. The cubic root of 989000415 is about 996.3199454781.

The spelling of 989000415 in words is "nine hundred eighty-nine million, four hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 1105 1755 1989 2295 3315 5967 9945 29835 33149 99447 165745 298341 430937 497235 563533 895023 1292811 1491705 1690599 2154685 2817665 3878433 4475115 5071797 6464055 7325929 8452995 11635299 15215391 19392165 21977787 25358985 36629645 58176495 65933361 76076955 109888935 197800083 329666805 989000415