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26393742 = 2332379269
BaseRepresentation
bin110010010101…
…1110010001110
31211122221102000
41210223302032
523224044432
62341413130
7440225454
oct144536216
954587360
1026393742
1113998011
128a0a1a6
1356116cb
1437109d4
1524b557c
hex192bc8e

26393742 has 64 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 8277984.

The previous prime is 26393723. The next prime is 26393747. The reversal of 26393742 is 24739362.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26393697 and 26393706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26393747) 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 31 ways as a sum of consecutive naturals, for example, 97984 + ... + 98252.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 226393742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26393742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

26393742 is an abundant number, since it is smaller than the sum of its proper divisors (35814258).

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

26393742 is a wasteful number, since it uses less digits than its factorization.

26393742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 26393742 is about 5137.4840145737. The cubic root of 26393742 is about 297.7375810922.

The spelling of 26393742 in words is "twenty-six million, three hundred ninety-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 79 138 158 207 237 269 414 474 538 621 711 807 1242 1422 1614 1817 2133 2421 3634 4266 4842 5451 6187 7263 10902 12374 14526 16353 18561 21251 32706 37122 42502 49059 55683 63753 98118 111366 127506 167049 191259 334098 382518 488773 573777 977546 1147554 1466319 2932638 4398957 8797914 13196871 26393742