Search a number
-
+
40422564 = 2235713457
BaseRepresentation
bin1001101000110…
…0110010100100
32211001200100000
42122030302210
540322010224
64002221300
71000405020
oct232146244
984050300
1040422564
11208aa086
1211654830
1384b3ca0
145523380
1538370c9
hex268cca4

40422564 has 144 divisors (see below), whose sum is σ = 130702208. Its totient is φ = 10637568.

The previous prime is 40422563. The next prime is 40422587. The reversal of 40422564 is 46522404.

40422564 is a `hidden beast` number, since 404 + 2 + 256 + 4 = 666.

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 (40422563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88224 + ... + 88680.

Almost surely, 240422564 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 40422564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351104).

40422564 is an abundant number, since it is smaller than the sum of its proper divisors (90279644).

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

40422564 is a wasteful number, since it uses less digits than its factorization.

40422564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40422564 is about 6357.8741730236. The cubic root of 40422564 is about 343.1952637617.

Adding to 40422564 its reverse (46522404), we get a palindrome (86944968).

The spelling of 40422564 in words is "forty million, four hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 457 468 486 546 567 702 756 819 914 972 1053 1092 1134 1371 1404 1638 1701 1828 2106 2268 2457 2742 3159 3199 3276 3402 4113 4212 4914 5484 5941 6318 6398 6804 7371 8226 9597 9828 11882 12339 12636 12796 14742 16452 17823 19194 22113 23764 24678 28791 29484 35646 37017 38388 41587 44226 49356 53469 57582 71292 74034 83174 86373 88452 106938 111051 115164 124761 148068 160407 166348 172746 213876 222102 249522 259119 320814 345492 374283 444204 481221 499044 518238 641628 748566 777357 962442 1036476 1122849 1443663 1497132 1554714 1924884 2245698 2887326 3109428 3368547 4491396 5774652 6737094 10105641 13474188 20211282 40422564