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40163144 = 2372293533
BaseRepresentation
bin1001100100110…
…1011101001000
32210120111110212
42121031131020
540240210034
63552500252
7665244500
oct231153510
983514425
1040163144
112074218a
121154a688
138422b98
145496a00
1537d52ce
hex264d748

40163144 has 48 divisors (see below), whose sum is σ = 90647100. Its totient is φ = 16614528.

The previous prime is 40163143. The next prime is 40163177. The reversal of 40163144 is 44136104.

It can be written as a sum of positive squares in 2 ways, for example, as 38812900 + 1350244 = 6230^2 + 1162^2 .

It is a super-2 number, since 2×401631442 = 3226156271929472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40163143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9602 + ... + 13134.

Almost surely, 240163144 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 40163144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45323550).

40163144 is an abundant number, since it is smaller than the sum of its proper divisors (50483956).

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

40163144 is a wasteful number, since it uses less digits than its factorization.

40163144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 40163144 is about 6337.4398616476. The cubic root of 40163144 is about 342.4595125032.

Adding to 40163144 its reverse (44136104), we get a palindrome (84299248).

The spelling of 40163144 in words is "forty million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 3533 5684 7066 11368 14132 24731 28264 49462 98924 102457 173117 197848 204914 346234 409828 692468 717199 819656 1384936 1434398 2868796 5020393 5737592 10040786 20081572 40163144