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40540032 = 2732132707
BaseRepresentation
bin1001101010100…
…1011110000000
32211021122110200
42122221132000
540334240112
64004525200
71001404341
oct232513600
984248420
1040540032
112097a365
12116b0800
1385255b0
1455540c8
15385bcdc
hex26a9780

40540032 has 96 divisors (see below), whose sum is σ = 125678280. Its totient is φ = 12469248.

The previous prime is 40540009. The next prime is 40540037. The reversal of 40540032 is 23004504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×405400322 = 3286988389122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40539987 and 40540014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40540037) 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 11 ways as a sum of consecutive naturals, for example, 13623 + ... + 16329.

Almost surely, 240540032 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 40540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62839140).

40540032 is an abundant number, since it is smaller than the sum of its proper divisors (85138248).

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

40540032 is a wasteful number, since it uses less digits than its factorization.

40540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40540032 is about 6367.1054648090. The cubic root of 40540032 is about 343.5273841494.

Adding to 40540032 its reverse (23004504), we get a palindrome (63544536).

The spelling of 40540032 in words is "forty million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 2707 3744 4992 5414 7488 8121 10828 14976 16242 21656 24363 32484 35191 43312 48726 64968 70382 86624 97452 105573 129936 140764 173248 194904 211146 259872 281528 316719 346496 389808 422292 519744 563056 633438 779616 844584 1039488 1126112 1266876 1559232 1689168 2252224 2533752 3118464 3378336 4504448 5067504 6756672 10135008 13513344 20270016 40540032