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27412896 = 2537192113
BaseRepresentation
bin110100010010…
…0100110100000
31220120201102110
41220210212200
524004203041
62415315320
7452001660
oct150444640
956521373
1027412896
1114523795
12921bb40
1358aa564
1438d81a0
152617516
hex1a249a0

27412896 has 144 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 7354368.

The previous prime is 27412867. The next prime is 27412907. The reversal of 27412896 is 69821472.

Its product of digits (48384) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242536 + ... + 242648.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 227412896 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 27412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

27412896 is an abundant number, since it is smaller than the sum of its proper divisors (60150048).

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

27412896 is a wasteful number, since it uses less digits than its factorization.

27412896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27412896 is about 5235.7326134936. The cubic root of 27412896 is about 301.5215147088.

The spelling of 27412896 in words is "twenty-seven million, four hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 113 114 133 152 168 224 226 228 266 304 336 339 361 399 452 456 532 608 672 678 722 791 798 904 912 1064 1083 1356 1444 1582 1596 1808 1824 2128 2147 2166 2373 2527 2712 2888 3164 3192 3616 4256 4294 4332 4746 5054 5424 5776 6328 6384 6441 7581 8588 8664 9492 10108 10848 11552 12656 12768 12882 15029 15162 17176 17328 18984 20216 25312 25764 30058 30324 34352 34656 37968 40432 40793 45087 51528 60116 60648 68704 75936 80864 81586 90174 103056 120232 121296 122379 163172 180348 206112 240464 242592 244758 285551 326344 360696 480928 489516 571102 652688 721392 856653 979032 1142204 1305376 1442784 1713306 1958064 2284408 3426612 3916128 4568816 6853224 9137632 13706448 27412896