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40771764 = 223211149691
BaseRepresentation
bin1001101110001…
…0000010110100
32211201102100100
42123202002310
540414144024
64013514100
71003361055
oct233420264
984642310
1040771764
1121018480
12117a2930
1385a6c07
1455b472c
1538a57c9
hex26e20b4

40771764 has 72 divisors (see below), whose sum is σ = 113349600. Its totient is φ = 12254400.

The previous prime is 40771751. The next prime is 40771807. The reversal of 40771764 is 46717704.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58659 + ... + 59349.

It is an arithmetic number, because the mean of its divisors is an integer number (1574300).

Almost surely, 240771764 is an apocalyptic number.

40771764 is a gapful number since it is divisible by the number (44) 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 40771764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56674800).

40771764 is an abundant number, since it is smaller than the sum of its proper divisors (72577836).

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

40771764 is a wasteful number, since it uses less digits than its factorization.

40771764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 40771764 is about 6385.2771278935. The cubic root of 40771764 is about 344.1806897325.

The spelling of 40771764 in words is "forty million, seven hundred seventy-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 691 894 1341 1382 1639 1788 2073 2682 2764 3278 4146 4917 5364 6219 6556 7601 8292 9834 12438 14751 15202 19668 22803 24876 29502 30404 45606 59004 68409 91212 102959 136818 205918 273636 308877 411836 617754 926631 1132549 1235508 1853262 2265098 3397647 3706524 4530196 6795294 10192941 13590588 20385882 40771764