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26942076 = 223271719331
BaseRepresentation
bin110011011000…
…1101001111100
31212200210120200
41212301221330
523344121301
62401243500
7445001220
oct146615174
955623520
1026942076
1114231a87
129033590
135774175
143814780
152572c86
hex19b1a7c

26942076 has 144 divisors (see below), whose sum is σ = 87010560. Its totient is φ = 6842880.

The previous prime is 26942063. The next prime is 26942077. The reversal of 26942076 is 67024962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26942076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26942077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81231 + ... + 81561.

It is an arithmetic number, because the mean of its divisors is an integer number (604240).

Almost surely, 226942076 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 26942076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43505280).

26942076 is an abundant number, since it is smaller than the sum of its proper divisors (60068484).

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

26942076 is a wasteful number, since it uses less digits than its factorization.

26942076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26942076 is about 5190.5756906147. The cubic root of 26942076 is about 299.7853130684.

The spelling of 26942076 in words is "twenty-six million, nine hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 331 342 357 399 476 532 612 646 662 684 714 798 969 993 1071 1197 1292 1324 1428 1596 1938 1986 2142 2261 2317 2394 2907 2979 3876 3972 4284 4522 4634 4788 5627 5814 5958 6289 6783 6951 9044 9268 11254 11628 11916 12578 13566 13902 16881 18867 20349 20853 22508 25156 27132 27804 33762 37734 39389 40698 41706 44023 50643 56601 67524 75468 78778 81396 83412 88046 101286 106913 113202 118167 132069 157556 176092 202572 213826 226404 236334 264138 320739 354501 396207 427652 472668 528276 641478 709002 748391 792414 962217 1282956 1418004 1496782 1584828 1924434 2245173 2993564 3848868 4490346 6735519 8980692 13471038 26942076