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26946048 = 29353331
BaseRepresentation
bin110011011001…
…0101000000000
31212201000000210
41212302220000
523344233143
62401314120
7445015623
oct146625000
955630023
1026946048
1114234a68
129035940
135775c0c
143815dba
152574033
hex19b2a00

26946048 has 80 divisors (see below), whose sum is σ = 73361376. Its totient is φ = 8785920.

The previous prime is 26946043. The next prime is 26946053. The reversal of 26946048 is 84064962.

It is an interprime number because it is at equal distance from previous prime (26946043) and next prime (26946053).

It is a junction number, because it is equal to n+sod(n) for n = 26945997 and 26946015.

It is not an unprimeable number, because it can be changed into a prime (26946043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81243 + ... + 81573.

Almost surely, 226946048 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 26946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36680688).

26946048 is an abundant number, since it is smaller than the sum of its proper divisors (46415328).

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

26946048 is an equidigital number, since it uses as much as digits as its factorization.

26946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 26946048 is about 5190.9582930322. The cubic root of 26946048 is about 299.8000445334.

The spelling of 26946048 in words is "twenty-six million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 331 384 424 512 636 662 768 848 993 1272 1324 1536 1696 1986 2544 2648 3392 3972 5088 5296 6784 7944 10176 10592 13568 15888 17543 20352 21184 27136 31776 35086 40704 42368 52629 63552 70172 81408 84736 105258 127104 140344 169472 210516 254208 280688 421032 508416 561376 842064 1122752 1684128 2245504 3368256 4491008 6736512 8982016 13473024 26946048