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40555242 = 2357213131
BaseRepresentation
bin1001101010110…
…1001011101010
32211022102100000
42122231023222
540340231432
64005123430
71001466600
oct232551352
984272300
1040555242
112098a832
12116b9576
13852c4b0
145559870
15386157c
hex26ad2ea

40555242 has 144 divisors (see below), whose sum is σ = 115026912. Its totient is φ = 10614240.

The previous prime is 40555241. The next prime is 40555289. The reversal of 40555242 is 24255504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40555241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309517 + ... + 309647.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 240555242 is an apocalyptic number.

40555242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40555242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

40555242 is an abundant number, since it is smaller than the sum of its proper divisors (74471670).

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

40555242 is a wasteful number, since it uses less digits than its factorization.

40555242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 40555242 is about 6368.2997730949. The cubic root of 40555242 is about 343.5703408512.

The spelling of 40555242 in words is "forty million, five hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 131 147 162 182 189 234 243 262 273 294 351 378 393 441 486 546 567 637 702 786 819 882 917 1053 1134 1179 1274 1323 1638 1701 1703 1834 1911 2106 2358 2457 2646 2751 3159 3402 3406 3537 3822 3969 4914 5109 5502 5733 6318 6419 7074 7371 7938 8253 10218 10611 11466 11907 11921 12838 14742 15327 16506 17199 19257 21222 22113 23814 23842 24759 30654 31833 34398 35763 38514 44226 45981 49518 51597 57771 63666 71526 74277 83447 91962 103194 107289 115542 137943 148554 154791 166894 173313 214578 222831 250341 275886 309582 321867 346626 413829 445662 500682 519939 643734 751023 827658 965601 1039878 1502046 1559817 1931202 2253069 2896803 3119634 4506138 5793606 6759207 13518414 20277621 40555242