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26952090 = 23511235367
BaseRepresentation
bin110011011010…
…0000110011010
31212201022022120
41212310012122
523344431330
62401402110
7445042344
oct146640632
955638276
1026952090
1114239560
129039336
1357788a9
143818294
152575c10
hex19b419a

26952090 has 128 divisors (see below), whose sum is σ = 76142592. Its totient is φ = 6040320.

The previous prime is 26952083. The next prime is 26952091. The reversal of 26952090 is 9025962.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (26952091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402237 + ... + 402303.

It is an arithmetic number, because the mean of its divisors is an integer number (594864).

Almost surely, 226952090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26952090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071296).

26952090 is an abundant number, since it is smaller than the sum of its proper divisors (49190502).

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

26952090 is a wasteful number, since it uses less digits than its factorization.

26952090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 26952090 is about 5191.5402338805. The cubic root of 26952090 is about 299.8224504969.

The spelling of 26952090 in words is "twenty-six million, nine hundred fifty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 53 55 66 67 69 106 110 115 134 138 159 165 201 230 253 265 318 330 335 345 402 506 530 583 670 690 737 759 795 1005 1166 1219 1265 1474 1518 1541 1590 1749 2010 2211 2438 2530 2915 3082 3498 3551 3657 3685 3795 4422 4623 5830 6095 7102 7314 7370 7590 7705 8745 9246 10653 11055 12190 13409 15410 16951 17490 17755 18285 21306 22110 23115 26818 33902 35510 36570 39061 40227 46230 50853 53265 67045 78122 80454 81673 84755 101706 106530 117183 134090 163346 169510 195305 201135 234366 245019 254265 390610 402270 408365 490038 508530 585915 816730 898403 1171830 1225095 1796806 2450190 2695209 4492015 5390418 8984030 13476045 26952090