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40553136 = 2434132983
BaseRepresentation
bin1001101010110…
…0101010110000
32211022022110000
42122230222300
540340200021
64005110000
71001460501
oct232545260
984268400
1040553136
1120989198
12116b8300
13852b550
145558ba8
153860b26
hex26acab0

40553136 has 200 divisors, whose sum is σ = 132335280. Its totient is φ = 11902464.

The previous prime is 40553131. The next prime is 40553137. The reversal of 40553136 is 63135504.

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 (40553131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488551 + ... + 488633.

Almost surely, 240553136 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 40553136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

40553136 is an abundant number, since it is smaller than the sum of its proper divisors (91782144).

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

40553136 is a wasteful number, since it uses less digits than its factorization.

40553136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 40553136 is about 6368.1344206918. The cubic root of 40553136 is about 343.5643936409.

It can be divided in two parts, 405 and 53136, that multiplied together give a triangular number (21520080 = T6560).

The spelling of 40553136 in words is "forty million, five hundred fifty-three thousand, one hundred thirty-six".