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40543232 = 210172137
BaseRepresentation
bin1001101010101…
…0010000000000
32211021210212012
42122222100000
540334340412
64004552052
71001416562
oct232522000
984253765
1040543232
1120981804
12116b2628
138526ba2
145555332
15385cc22
hex26aa400

40543232 has 66 divisors (see below), whose sum is σ = 86723202. Its totient is φ = 18939904.

The previous prime is 40543229. The next prime is 40543253. The reversal of 40543232 is 23234504.

It can be written as a sum of positive squares in 3 ways, for example, as 18113536 + 22429696 = 4256^2 + 4736^2 .

It is a super-2 number, since 2×405432322 = 3287507322011648, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 40543198 and 40543207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295868 + ... + 296004.

Almost surely, 240543232 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 40543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43361601).

40543232 is an abundant number, since it is smaller than the sum of its proper divisors (46179970).

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

40543232 is a wasteful number, since it uses less digits than its factorization.

40543232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 40543232 is about 6367.3567514315. The cubic root of 40543232 is about 343.5364226122.

Adding to 40543232 its reverse (23234504), we get a palindrome (63777736).

The spelling of 40543232 in words is "forty million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 289 512 544 548 578 1024 1088 1096 1156 2176 2192 2312 2329 4352 4384 4624 4658 8704 8768 9248 9316 17408 17536 18496 18632 35072 36992 37264 39593 70144 73984 74528 79186 140288 147968 149056 158372 295936 298112 316744 596224 633488 1192448 1266976 2384896 2533952 5067904 10135808 20271616 40543232