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98240256 = 283361233
BaseRepresentation
bin1011101101100…
…00011100000000
320211212010022000
411312300130000
5200122142011
613425344000
72302012512
oct566603400
9224763260
1098240256
11504aa3a4
1228a98000
131747883a
14d093bb2
158958356
hex5db0700

98240256 has 144 divisors (see below), whose sum is σ = 296543520. Its totient is φ = 32071680.

The previous prime is 98240249. The next prime is 98240257. The reversal of 98240256 is 65204289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×982402562 = 19302295797891072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 98240256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421516 + ... + 421748.

It is an arithmetic number, because the mean of its divisors is an integer number (2059330).

Almost surely, 298240256 is an apocalyptic number.

98240256 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 98240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148271760).

98240256 is an abundant number, since it is smaller than the sum of its proper divisors (198303264).

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

98240256 is a wasteful number, since it uses less digits than its factorization.

98240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 98240256 is about 9911.6222688317. The cubic root of 98240256 is about 461.4200853336.

The spelling of 98240256 in words is "ninety-eight million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 233 244 256 288 366 384 432 466 488 549 576 699 732 768 864 932 976 1098 1152 1398 1464 1647 1728 1864 1952 2097 2196 2304 2796 2928 3294 3456 3728 3904 4194 4392 5592 5856 6291 6588 6912 7456 7808 8388 8784 11184 11712 12582 13176 14213 14912 15616 16776 17568 22368 23424 25164 26352 28426 29824 33552 35136 42639 44736 46848 50328 52704 56852 59648 67104 70272 85278 89472 100656 105408 113704 127917 134208 140544 170556 178944 201312 210816 227408 255834 268416 341112 383751 402624 421632 454816 511668 536832 682224 767502 805248 909632 1023336 1364448 1535004 1610496 1819264 2046672 2728896 3070008 3638528 4093344 5457792 6140016 8186688 10915584 12280032 16373376 24560064 32746752 49120128 98240256