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99488256 = 293719487
BaseRepresentation
bin1011110111000…
…01001000000000
320221012112020020
411323201020000
5200432111011
613512213440
72315431140
oct573411000
9227175206
1099488256
1151181aaa
122939a280
13177c48ba
14d2da920
158b03006
hex5ee1200

99488256 has 160 divisors (see below), whose sum is σ = 319503360. Its totient is φ = 26873856.

The previous prime is 99488243. The next prime is 99488281. The reversal of 99488256 is 65288499.

It is a junction number, because it is equal to n+sod(n) for n = 99488199 and 99488208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204045 + ... + 204531.

It is an arithmetic number, because the mean of its divisors is an integer number (1996896).

Almost surely, 299488256 is an apocalyptic number.

99488256 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 99488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159751680).

99488256 is an abundant number, since it is smaller than the sum of its proper divisors (220015104).

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

99488256 is a wasteful number, since it uses less digits than its factorization.

99488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 99488256 is about 9974.3799807306. The cubic root of 99488256 is about 463.3657604872.

The spelling of 99488256 in words is "ninety-nine million, four hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 487 512 532 608 672 768 798 896 912 974 1064 1216 1344 1461 1536 1596 1792 1824 1948 2128 2432 2688 2922 3192 3409 3584 3648 3896 4256 4864 5376 5844 6384 6818 7296 7792 8512 9253 9728 10227 10752 11688 12768 13636 14592 15584 17024 18506 20454 23376 25536 27272 27759 29184 31168 34048 37012 40908 46752 51072 54544 55518 62336 64771 68096 74024 81816 93504 102144 109088 111036 124672 129542 148048 163632 187008 194313 204288 218176 222072 249344 259084 296096 327264 374016 388626 436352 444144 518168 592192 654528 748032 777252 872704 888288 1036336 1184384 1309056 1554504 1745408 1776576 2072672 2368768 2618112 3109008 3553152 4145344 4737536 5236224 6218016 7106304 8290688 12436032 14212608 16581376 24872064 33162752 49744128 99488256