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40327820 = 225131091423
BaseRepresentation
bin1001100111010…
…1101010001100
32210212212100222
42121311222030
540310442240
64000210512
7666531551
oct231655214
983785328
1040327820
1120844985
1211609a38
13847cb20
1454daa28
153818eb5
hex2675a8c

40327820 has 48 divisors (see below), whose sum is σ = 92104320. Its totient is φ = 14743296.

The previous prime is 40327813. The next prime is 40327853. The reversal of 40327820 is 2872304.

40327820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40327820.

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 15 ways as a sum of consecutive naturals, for example, 27629 + ... + 29051.

It is an arithmetic number, because the mean of its divisors is an integer number (1918840).

Almost surely, 240327820 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 40327820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46052160).

40327820 is an abundant number, since it is smaller than the sum of its proper divisors (51776500).

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

40327820 is a wasteful number, since it uses less digits than its factorization.

40327820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 40327820 is about 6350.4188838218. The cubic root of 40327820 is about 342.9269224705.

The spelling of 40327820 in words is "forty million, three hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 1423 2180 2834 2846 5668 5692 7085 7115 14170 14230 18499 28340 28460 36998 73996 92495 155107 184990 310214 369980 620428 775535 1551070 2016391 3102140 4032782 8065564 10081955 20163910 40327820