Search a number
-
+
40554602452 = 227213137116177
BaseRepresentation
bin100101110001001111…
…100001111111010100
310212200022122021001001
4211301033201333110
51131023434234302
630344105513044
72633660301400
oct456117417724
9125608567031
1040554602452
111622101a081
127a397a2784
133a93c448b0
141d6a0d8100
1510c5538787
hex9713e1fd4

40554602452 has 72 divisors (see below), whose sum is σ = 89557902504. Its totient is φ = 15926335488.

The previous prime is 40554602449. The next prime is 40554602453. The reversal of 40554602452 is 25420645504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 536200336 + 40018402116 = 23156^2 + 200046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40554602453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290988 + ... + 407164.

It is an arithmetic number, because the mean of its divisors is an integer number (1243859757).

Almost surely, 240554602452 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 40554602452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44778951252).

40554602452 is an abundant number, since it is smaller than the sum of its proper divisors (49003300052).

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

40554602452 is a wasteful number, since it uses less digits than its factorization.

40554602452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116345 (or 116336 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 40554602452 in words is "forty billion, five hundred fifty-four million, six hundred two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 137 182 196 274 364 548 637 959 1274 1781 1918 2548 3562 3836 6713 7124 12467 13426 24934 26852 49868 87269 116177 174538 232354 349076 464708 813239 1510301 1626478 3020602 3252956 5692673 6041204 10572107 11385346 15916249 21144214 22770692 31832498 42288428 63664996 74004749 111413743 148009498 206911237 222827486 296018996 413822474 445654972 779896201 827644948 1448378659 1559792402 2896757318 3119584804 5793514636 10138650613 20277301226 40554602452