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40496274 = 2347134167
BaseRepresentation
bin1001101001111…
…0110010010010
32211012102110000
42122132302102
540331340044
64003550430
71001132640
oct232366222
984172400
1040496274
112094a4a5
121168b416
13850b6c0
145542190
15384dd69
hex269ec92

40496274 has 160 divisors (see below), whose sum is σ = 116113536. Its totient is φ = 10264320.

The previous prime is 40496273. The next prime is 40496303. The reversal of 40496274 is 47269404.

40496274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40496273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604389 + ... + 604455.

Almost surely, 240496274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40496274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056768).

40496274 is an abundant number, since it is smaller than the sum of its proper divisors (75617262).

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

40496274 is a wasteful number, since it uses less digits than its factorization.

40496274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40496274 is about 6363.6682817381. The cubic root of 40496274 is about 343.4037410720.

The spelling of 40496274 in words is "forty million, four hundred ninety-six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 41 42 54 63 67 78 81 82 91 117 123 126 134 162 182 189 201 234 246 273 287 351 369 378 402 469 533 546 567 574 603 702 738 819 861 871 938 1053 1066 1107 1134 1206 1407 1599 1638 1722 1742 1809 2106 2214 2457 2583 2613 2747 2814 3198 3321 3618 3731 4221 4797 4914 5166 5226 5427 5494 6097 6642 7371 7462 7749 7839 8241 8442 9594 10854 11193 12194 12663 14391 14742 15498 15678 16482 18291 19229 22386 23247 23517 24723 25326 28782 33579 35711 36582 37989 38458 43173 46494 47034 49446 54873 57687 67158 70551 71422 74169 75978 86346 100737 107133 109746 115374 141102 148338 164619 173061 201474 214266 222507 249977 302211 321399 329238 346122 445014 493857 499954 519183 604422 642798 749931 964197 987714 1038366 1499862 1557549 1928394 2249793 2892591 3115098 4499586 5785182 6749379 13498758 20248137 40496274