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98074368 = 283372027
BaseRepresentation
bin1011101100001…
…11111100000000
320211112200202000
411312013330000
5200101334433
613422024000
72300422050
oct566077400
9224480660
1098074368
11503a67a7
1228a18000
131741b192
14d04d560
158924113
hex5d87f00

98074368 has 144 divisors (see below), whose sum is σ = 331618560. Its totient is φ = 28007424.

The previous prime is 98074363. The next prime is 98074373. The reversal of 98074368 is 86347089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98074363) and next prime (98074373).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98074363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47371 + ... + 49397.

Almost surely, 298074368 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 98074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165809280).

98074368 is an abundant number, since it is smaller than the sum of its proper divisors (233544192).

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

98074368 is a wasteful number, since it uses less digits than its factorization.

98074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 98074368 is about 9903.2503755080. The cubic root of 98074368 is about 461.1602218022.

The spelling of 98074368 in words is "ninety-eight million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2027 2304 2688 3024 3456 4032 4054 5376 6048 6081 6912 8064 8108 12096 12162 14189 16128 16216 18243 24192 24324 28378 32432 36486 42567 48384 48648 54729 56756 64864 72972 85134 97296 109458 113512 127701 129728 145944 170268 194592 218916 227024 255402 259456 291888 340536 383103 389184 437832 454048 510804 518912 583776 681072 766206 778368 875664 908096 1021608 1167552 1362144 1532412 1556736 1751328 1816192 2043216 2335104 2724288 3064824 3502656 3632384 4086432 4670208 5448576 6129648 7005312 8172864 10897152 12259296 14010624 16345728 24518592 32691456 49037184 98074368