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393897088 = 27132131139
BaseRepresentation
bin10111011110100…
…110010010000000
31000110012001020001
4113132212102000
51301314201323
6103030325344
712522033004
oct2736462200
91013161201
10393897088
11192387792
12abab9854
13637b5800
143a456704
15248aa3ad
hex177a6480

393897088 has 96 divisors (see below), whose sum is σ = 862369200. Its totient is φ = 179112960.

The previous prime is 393897073. The next prime is 393897107. The reversal of 393897088 is 880798393.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2833723 + ... + 2833861.

Almost surely, 2393897088 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 393897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431184600).

393897088 is an abundant number, since it is smaller than the sum of its proper divisors (468472112).

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

393897088 is a wasteful number, since it uses less digits than its factorization.

393897088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The square root of 393897088 is about 19846.8407561506. The cubic root of 393897088 is about 733.0398590618.

The spelling of 393897088 in words is "three hundred ninety-three million, eight hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 139 169 208 262 278 338 416 524 556 676 832 1048 1112 1352 1664 1703 1807 2096 2224 2704 3406 3614 4192 4448 5408 6812 7228 8384 8896 10816 13624 14456 16768 17792 18209 21632 22139 23491 27248 28912 36418 44278 46982 54496 57824 72836 88556 93964 108992 115648 145672 177112 187928 217984 231296 236717 291344 354224 375856 473434 582688 708448 751712 946868 1165376 1416896 1503424 1893736 2330752 2833792 3006848 3077321 3787472 6154642 7574944 12309284 15149888 24618568 30299776 49237136 98474272 196948544 393897088