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98238144 = 2634373163
BaseRepresentation
bin1011101101011…
…11111011000000
320211212000101210
411312233323000
5200122110034
613425330120
72302003404
oct566577300
9224760353
1098238144
11504a8854
1228a96940
13174778a4
14d093104
1589578e9
hex5dafec0

98238144 has 112 divisors (see below), whose sum is σ = 271263872. Its totient is φ = 31352832.

The previous prime is 98238139. The next prime is 98238149. The reversal of 98238144 is 44183289.

It is an interprime number because it is at equal distance from previous prime (98238139) and next prime (98238149).

It is not an unprimeable number, because it can be changed into a prime (98238149) 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, 602607 + ... + 602769.

Almost surely, 298238144 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 98238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135631936).

98238144 is an abundant number, since it is smaller than the sum of its proper divisors (173025728).

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

98238144 is a wasteful number, since it uses less digits than its factorization.

98238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 98238144 is about 9911.5157266687. The cubic root of 98238144 is about 461.4167787250.

The spelling of 98238144 in words is "ninety-eight million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 73 86 96 129 146 163 172 192 219 258 292 326 344 438 489 516 584 652 688 876 978 1032 1168 1304 1376 1752 1956 2064 2336 2608 2752 3139 3504 3912 4128 4672 5216 6278 7008 7009 7824 8256 9417 10432 11899 12556 14016 14018 15648 18834 21027 23798 25112 28036 31296 35697 37668 42054 47596 50224 56072 71394 75336 84108 95192 100448 112144 142788 150672 168216 190384 200896 224288 285576 301344 336432 380768 448576 511657 571152 602688 672864 761536 1023314 1142304 1345728 1534971 2046628 2284608 3069942 4093256 6139884 8186512 12279768 16373024 24559536 32746048 49119072 98238144