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7998696 = 2333191949
BaseRepresentation
bin11110100000110011101000
3120001101011000
4132200303220
54021424241
6443235000
7124662546
oct36406350
916041130
107998696
1145735a2
122818a60
131870974
1410c2d96
15a7eeb6
hex7a0ce8

7998696 has 64 divisors (see below), whose sum is σ = 23400000. Its totient is φ = 2524608.

The previous prime is 7998691. The next prime is 7998701. The reversal of 7998696 is 6968997.

It is an interprime number because it is at equal distance from previous prime (7998691) and next prime (7998701).

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

It is not an unprimeable number, because it can be changed into a prime (7998691) 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, 3130 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (365625).

Almost surely, 27998696 is an apocalyptic number.

7998696 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 7998696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700000).

7998696 is an abundant number, since it is smaller than the sum of its proper divisors (15401304).

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

7998696 is a wasteful number, since it uses less digits than its factorization.

7998696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1973 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 7998696 is about 2828.1965985412. The cubic root of 7998696 is about 199.9891327429.

The spelling of 7998696 in words is "seven million, nine hundred ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 1949 2052 3898 4104 5847 7796 11694 15592 17541 23388 35082 37031 46776 52623 70164 74062 105246 111093 140328 148124 210492 222186 296248 333279 420984 444372 666558 888744 999837 1333116 1999674 2666232 3999348 7998696