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7994896 = 2471317219
BaseRepresentation
bin11110011111111000010000
3120001011221021
4132133320100
54021314041
6443205224
7124645510
oct36377020
916034837
107994896
114570758
122816814
13186c010
1410c1840
15a7dcd1
hex79fe10

7994896 has 120 divisors (see below), whose sum is σ = 21318080. Its totient is φ = 2820096.

The previous prime is 7994881. The next prime is 7994897. The reversal of 7994896 is 6984997.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (979776) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (7994897) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 420775 + ... + 420793.

Almost surely, 27994896 is an apocalyptic number.

7994896 is a gapful number since it is divisible by the number (76) 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 7994896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659040).

7994896 is an abundant number, since it is smaller than the sum of its proper divisors (13323184).

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

7994896 is a wasteful number, since it uses less digits than its factorization.

7994896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 7994896 is about 2827.5247125357. The cubic root of 7994896 is about 199.9574576180.

The spelling of 7994896 in words is "seven million, nine hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 17 19 26 28 34 38 52 56 68 76 91 104 112 119 133 136 152 182 208 221 238 247 266 272 289 304 323 364 442 476 494 532 578 646 728 884 952 988 1064 1156 1292 1456 1547 1729 1768 1904 1976 2023 2128 2261 2312 2584 3094 3458 3536 3757 3952 4046 4199 4522 4624 5168 5491 6188 6916 7514 8092 8398 9044 10982 12376 13832 15028 16184 16796 18088 21964 24752 26299 27664 29393 30056 32368 33592 36176 38437 43928 52598 58786 60112 67184 71383 76874 87856 105196 117572 142766 153748 210392 235144 285532 307496 420784 470288 499681 571064 614992 999362 1142128 1998724 3997448 7994896