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26429112 = 2333313947
BaseRepresentation
bin110010011010…
…0011010111000
31211201201221000
41210310122320
523231212422
62342245000
7440433543
oct144643270
954651830
1026429112
1113a11646
128a26760
135624838
14371d85a
1524c0cac
hex19346b8

26429112 has 64 divisors (see below), whose sum is σ = 75801600. Its totient is φ = 8523360.

The previous prime is 26429099. The next prime is 26429131. The reversal of 26429112 is 21192462.

26429112 is a `hidden beast` number, since 2 + 642 + 9 + 1 + 12 = 666.

It is a super-2 number, since 2×264291122 = 1396995922217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4723 + ... + 8669.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 226429112 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 26429112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37900800).

26429112 is an abundant number, since it is smaller than the sum of its proper divisors (49372488).

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

26429112 is a wasteful number, since it uses less digits than its factorization.

26429112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3983 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 26429112 is about 5140.9252085593. The cubic root of 26429112 is about 297.8705201501.

The spelling of 26429112 in words is "twenty-six million, four hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 3947 6696 7894 11841 15788 23682 31576 35523 47364 71046 94728 106569 122357 142092 213138 244714 284184 367071 426276 489428 734142 852552 978856 1101213 1468284 2202426 2936568 3303639 4404852 6607278 8809704 13214556 26429112