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40055136 = 2531183457
BaseRepresentation
bin1001100011001…
…1000101100000
32210101000022120
42120303011200
540223231021
63550304240
7664314552
oct230630540
983330276
1040055136
1120679020
12114b8080
1383b5984
1454694d2
1537b32c6
hex2633160

40055136 has 96 divisors (see below), whose sum is σ = 116339328. Its totient is φ = 11965440.

The previous prime is 40055107. The next prime is 40055137. The reversal of 40055136 is 63155004.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40055137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87420 + ... + 87876.

It is an arithmetic number, because the mean of its divisors is an integer number (1211868).

Almost surely, 240055136 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 40055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58169664).

40055136 is an abundant number, since it is smaller than the sum of its proper divisors (76284192).

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

40055136 is a wasteful number, since it uses less digits than its factorization.

40055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 40055136 is about 6328.9127028266. The cubic root of 40055136 is about 342.1522525818.

The spelling of 40055136 in words is "forty million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 457 498 528 664 913 914 996 1056 1328 1371 1826 1828 1992 2656 2739 2742 3652 3656 3984 5027 5478 5484 7304 7312 7968 10054 10956 10968 14608 14624 15081 20108 21912 21936 29216 30162 37931 40216 43824 43872 60324 75862 80432 87648 113793 120648 151724 160864 227586 241296 303448 417241 455172 482592 606896 834482 910344 1213792 1251723 1668964 1820688 2503446 3337928 3641376 5006892 6675856 10013784 13351712 20027568 40055136