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159993792 = 263474409
BaseRepresentation
bin10011000100101…
…00111111000000
3102011001112020000
421202110333000
5311424300132
623513120000
73651632130
oct1142247700
9364045200
10159993792
1182348782
12456b9000
13271ba9aa
141736aac0
15e0a587c
hex9894fc0

159993792 has 140 divisors (see below), whose sum is σ = 542147760. Its totient is φ = 45702144.

The previous prime is 159993761. The next prime is 159993829. The reversal of 159993792 is 297399951.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34084 + ... + 38492.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2159993792 is an apocalyptic number.

159993792 is a gapful number since it is divisible by the number (12) 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 159993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271073880).

159993792 is an abundant number, since it is smaller than the sum of its proper divisors (382153968).

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

159993792 is an equidigital number, since it uses as much as digits as its factorization.

159993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4421 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 159993792 is about 12648.8652455467. The cubic root of 159993792 is about 542.8765019346.

It can be divided in two parts, 15999 and 3792, that added together give a palindrome (19791).

The spelling of 159993792 in words is "one hundred fifty-nine million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4409 4536 5184 6048 8818 9072 12096 13227 17636 18144 26454 30863 35272 36288 39681 52908 61726 70544 79362 92589 105816 119043 123452 141088 158724 185178 211632 238086 246904 277767 282176 317448 357129 370356 423264 476172 493808 555534 634896 714258 740712 833301 846528 952344 987616 1111068 1269792 1428516 1481424 1666602 1904688 1975232 2222136 2499903 2539584 2857032 2962848 3333204 3809376 4444272 4999806 5714064 5925696 6666408 7618752 8888544 9999612 11428128 13332816 17777088 19999224 22856256 26665632 39998448 53331264 79996896 159993792