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98833952 = 2573143331
BaseRepresentation
bin1011110010000…
…01011000100000
320212222021200202
411321001120200
5200300141302
613450204332
72310034430
oct571013040
9225867622
1098833952
1150875458
12291236a8
1317625b39
14d1aa2c0
158a24202
hex5e41620

98833952 has 96 divisors (see below), whose sum is σ = 235597824. Its totient is φ = 39916800.

The previous prime is 98833951. The next prime is 98833961. The reversal of 98833952 is 25933889.

It is a junction number, because it is equal to n+sod(n) for n = 98833897 and 98833906.

It is not an unprimeable number, because it can be changed into a prime (98833951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298427 + ... + 298757.

It is an arithmetic number, because the mean of its divisors is an integer number (2454144).

Almost surely, 298833952 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 98833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117798912).

98833952 is an abundant number, since it is smaller than the sum of its proper divisors (136763872).

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

98833952 is a wasteful number, since it uses less digits than its factorization.

98833952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 98833952 is about 9941.5266433280. The cubic root of 98833952 is about 462.3477202102.

The spelling of 98833952 in words is "ninety-eight million, eight hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 86 112 124 172 217 224 248 301 331 344 434 496 602 662 688 868 992 1204 1324 1333 1376 1736 2317 2408 2648 2666 3472 4634 4816 5296 5332 6944 9268 9331 9632 10261 10592 10664 14233 18536 18662 20522 21328 28466 37072 37324 41044 42656 56932 71827 74144 74648 82088 99631 113864 143654 149296 164176 199262 227728 287308 298592 328352 398524 441223 455456 574616 797048 882446 1149232 1594096 1764892 2298464 3088561 3188192 3529784 6177122 7059568 12354244 14119136 24708488 49416976 98833952