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26972982 = 23217181487
BaseRepresentation
bin110011011100…
…1001100110110
31212202100222100
41212321030312
523401113412
62402042530
7445160301
oct146711466
955670870
1026972982
1114253223
129049446
13578525a
143821b38
15257bedc
hex19b9336

26972982 has 48 divisors (see below), whose sum is σ = 62348832. Its totient is φ = 8398080.

The previous prime is 26972977. The next prime is 26972983. The reversal of 26972982 is 28927962.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26972983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55143 + ... + 55629.

It is an arithmetic number, because the mean of its divisors is an integer number (1298934).

Almost surely, 226972982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26972982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31174416).

26972982 is an abundant number, since it is smaller than the sum of its proper divisors (35375850).

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

26972982 is a wasteful number, since it uses less digits than its factorization.

26972982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 26972982 is about 5193.5519637335. The cubic root of 26972982 is about 299.8998999370.

The spelling of 26972982 in words is "twenty-six million, nine hundred seventy-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 487 543 974 1086 1461 1629 2922 3077 3258 4383 6154 8279 8766 9231 16558 18462 24837 27693 49674 55386 74511 88147 149022 176294 264441 528882 793323 1498499 1586646 2996998 4495497 8990994 13486491 26972982