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98144256 = 212372163
BaseRepresentation
bin1011101100110…
…01000000000000
320211200020121110
411312121000000
5200111104011
613423323320
72301132600
oct566310000
9224606543
1098144256
1150444261
1228a50540
1317443c32
14d06ac00
158939ba6
hex5d99000

98144256 has 156 divisors (see below), whose sum is σ = 306277872. Its totient is φ = 27869184.

The previous prime is 98144251. The next prime is 98144257. The reversal of 98144256 is 65244189.

It is not an unprimeable number, because it can be changed into a prime (98144251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602031 + ... + 602193.

Almost surely, 298144256 is an apocalyptic number.

98144256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153138936).

98144256 is an abundant number, since it is smaller than the sum of its proper divisors (208133616).

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

98144256 is a wasteful number, since it uses less digits than its factorization.

98144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 98144256 is about 9906.7782855982. The cubic root of 98144256 is about 461.2697370393.

The spelling of 98144256 in words is "ninety-eight million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 163 168 192 196 224 256 294 326 336 384 392 448 489 512 588 652 672 768 784 896 978 1024 1141 1176 1304 1344 1536 1568 1792 1956 2048 2282 2352 2608 2688 3072 3136 3423 3584 3912 4096 4564 4704 5216 5376 6144 6272 6846 7168 7824 7987 9128 9408 10432 10752 12288 12544 13692 14336 15648 15974 18256 18816 20864 21504 23961 25088 27384 28672 31296 31948 36512 37632 41728 43008 47922 50176 54768 62592 63896 73024 75264 83456 86016 95844 100352 109536 125184 127792 146048 150528 166912 191688 200704 219072 250368 255584 292096 301056 333824 383376 438144 500736 511168 584192 602112 667648 766752 876288 1001472 1022336 1168384 1533504 1752576 2002944 2044672 2336768 3067008 3505152 4089344 4673536 6134016 7010304 8178688 12268032 14020608 16357376 24536064 32714752 49072128 98144256