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40145544 = 2335107193
BaseRepresentation
bin1001100100100…
…1001010001000
32210112121100000
42121021022020
540234124134
63552243000
7665142255
oct231111210
983477300
1040145544
112072aa3a
1211540460
138417b7a
14549042c
1537cee99
hex2649288

40145544 has 96 divisors (see below), whose sum is σ = 114397920. Its totient is φ = 13188096.

The previous prime is 40145533. The next prime is 40145549. The reversal of 40145544 is 44554104.

It is a super-2 number, since 2×401455442 = 3223329406111872, which contains 22 as substring.

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 (40145549) 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, 207912 + ... + 208104.

It is an arithmetic number, because the mean of its divisors is an integer number (1191645).

Almost surely, 240145544 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 40145544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57198960).

40145544 is an abundant number, since it is smaller than the sum of its proper divisors (74252376).

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

40145544 is a wasteful number, since it uses less digits than its factorization.

40145544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 40145544 is about 6336.0511361573. The cubic root of 40145544 is about 342.4094818247.

Adding to 40145544 its reverse (44554104), we get a palindrome (84699648).

The spelling of 40145544 in words is "forty million, one hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 193 214 216 243 321 324 386 428 486 579 642 648 772 856 963 972 1158 1284 1544 1737 1926 1944 2316 2568 2889 3474 3852 4632 5211 5778 6948 7704 8667 10422 11556 13896 15633 17334 20651 20844 23112 26001 31266 34668 41302 41688 46899 52002 61953 62532 69336 82604 93798 104004 123906 125064 165208 185859 187596 208008 247812 371718 375192 495624 557577 743436 1115154 1486872 1672731 2230308 3345462 4460616 5018193 6690924 10036386 13381848 20072772 40145544