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16827426 = 2347111971
BaseRepresentation
bin100000000110…
…0010000100010
31011122220220000
41000030100202
513301434201
61400400430
7263013360
oct100142042
934586800
1016827426
119553770
125776116
133642375
142340630
151725d86
hex100c422

16827426 has 160 divisors (see below), whose sum is σ = 50181120. Its totient is φ = 4082400.

The previous prime is 16827413. The next prime is 16827427. The reversal of 16827426 is 62472861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16827427) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236971 + ... + 237041.

It is an arithmetic number, because the mean of its divisors is an integer number (313632).

Almost surely, 216827426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16827426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090560).

16827426 is an abundant number, since it is smaller than the sum of its proper divisors (33353694).

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

16827426 is a wasteful number, since it uses less digits than its factorization.

16827426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16827426 is about 4102.1245714873. The cubic root of 16827426 is about 256.2551269250.

The spelling of 16827426 in words is "sixteen million, eight hundred twenty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 71 77 81 99 114 126 133 142 154 162 171 189 198 209 213 231 266 297 342 378 399 418 426 462 497 513 567 594 627 639 693 781 798 891 994 1026 1134 1197 1254 1278 1349 1386 1463 1491 1539 1562 1782 1881 1917 2079 2343 2394 2698 2926 2982 3078 3591 3762 3834 4047 4158 4389 4473 4686 5467 5643 5751 6237 7029 7182 8094 8778 8946 9443 10773 10934 11286 11502 12141 12474 13167 13419 14058 14839 16401 16929 18886 21087 21546 24282 26334 26838 28329 29678 32802 33858 36423 39501 40257 42174 44517 49203 56658 63261 72846 79002 80514 84987 89034 98406 103873 109269 118503 126522 133551 147609 169974 207746 218538 237006 254961 267102 295218 311619 400653 442827 509922 623238 764883 801306 885654 934857 1201959 1529766 1869714 2403918 2804571 5609142 8413713 16827426