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40538376 = 2332797127
BaseRepresentation
bin1001101010100…
…1000100001000
32211021120012100
42122221010020
540334212001
64004513400
71001366454
oct232510410
984246170
1040538376
112097909a
12116ab860
138524908
145553664
15385b586
hex26a9108

40538376 has 48 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 13339872.

The previous prime is 40538371. The next prime is 40538401. The reversal of 40538376 is 67383504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40538376.

It is not an unprimeable number, because it can be changed into a prime (40538371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125 + ... + 9251.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 240538376 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 40538376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

40538376 is an abundant number, since it is smaller than the sum of its proper divisors (70658424).

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

40538376 is a wasteful number, since it uses less digits than its factorization.

40538376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40538376 is about 6366.9754200876. The cubic root of 40538376 is about 343.5227065582.

It can be divided in two parts, 405 and 38376, that added together give a triangular number (38781 = T278).

The spelling of 40538376 in words is "forty million, five hundred thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 7127 14254 21381 28508 42762 57016 64143 85524 128286 171048 256572 513144 563033 1126066 1689099 2252132 3378198 4504264 5067297 6756396 10134594 13512792 20269188 40538376