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40787360 = 2552271123
BaseRepresentation
bin1001101110010…
…1110110100000
32211202012201222
42123211312200
540420143420
64014114212
71003454405
oct233456640
984665658
1040787360
1121029169
12117ab968
1385b1043
1455ba2ac
1538aa225
hex26e5da0

40787360 has 48 divisors (see below), whose sum is σ = 96870816. Its totient is φ = 16228608.

The previous prime is 40787359. The next prime is 40787377. The reversal of 40787360 is 6378704.

40787360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40787360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35759 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (2018142).

Almost surely, 240787360 is an apocalyptic number.

40787360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48435408).

40787360 is an abundant number, since it is smaller than the sum of its proper divisors (56083456).

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

40787360 is a wasteful number, since it uses less digits than its factorization.

40787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 40787360 is about 6386.4982580441. The cubic root of 40787360 is about 344.2245694278.

The spelling of 40787360 in words is "forty million, seven hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1123 1135 1816 2246 2270 3632 4492 4540 5615 7264 8984 9080 11230 17968 18160 22460 35936 36320 44920 89840 179680 254921 509842 1019684 1274605 2039368 2549210 4078736 5098420 8157472 10196840 20393680 40787360