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98432496 = 24372997
BaseRepresentation
bin1011101110111…
…11010111110000
320212012220000000
411313133113300
5200144314441
613433430000
72303443131
oct567372760
9225186000
1098432496
1150620878
1228b6b300
13175151a6
14d103c88
1589952b6
hex5ddf5f0

98432496 has 160 divisors (see below), whose sum is σ = 298939200. Its totient is φ = 31352832.

The previous prime is 98432459. The next prime is 98432507. The reversal of 98432496 is 69423489.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014720 + ... + 1014816.

It is an arithmetic number, because the mean of its divisors is an integer number (1868370).

Almost surely, 298432496 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 98432496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149469600).

98432496 is an abundant number, since it is smaller than the sum of its proper divisors (200506704).

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

98432496 is an equidigital number, since it uses as much as digits as its factorization.

98432496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 98432496 is about 9921.3152353909. The cubic root of 98432496 is about 461.7208635967.

The spelling of 98432496 in words is "ninety-eight million, four hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 97 108 116 144 162 174 194 216 232 243 261 291 324 348 388 432 464 486 522 582 648 696 729 776 783 873 972 1044 1164 1296 1392 1458 1552 1566 1746 1944 2088 2187 2328 2349 2619 2813 2916 3132 3492 3888 4176 4374 4656 4698 5238 5626 5832 6264 6984 7047 7857 8439 8748 9396 10476 11252 11664 12528 13968 14094 15714 16878 17496 18792 20952 21141 22504 23571 25317 28188 31428 33756 34992 37584 41904 42282 45008 47142 50634 56376 62856 63423 67512 70713 75951 84564 94284 101268 112752 125712 126846 135024 141426 151902 169128 188568 202536 212139 227853 253692 282852 303804 338256 377136 405072 424278 455706 507384 565704 607608 683559 848556 911412 1014768 1131408 1215216 1367118 1697112 1822824 2050677 2734236 3394224 3645648 4101354 5468472 6152031 8202708 10936944 12304062 16405416 24608124 32810832 49216248 98432496