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40661352 = 2334131479
BaseRepresentation
bin1001101100011…
…1000101101000
32211111210220000
42123013011220
540402130402
64011303000
71002421134
oct233070550
984453800
1040661352
1120a52526
121174aa60
138568894
1455863c4
153882c1c
hex26c7168

40661352 has 80 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 13422240.

The previous prime is 40661351. The next prime is 40661353. The reversal of 40661352 is 25316604.

40661352 is a `hidden beast` number, since 40 + 6 + 613 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40661351) and next prime (40661353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40661351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84649 + ... + 85127.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 240661352 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 40661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57499200).

40661352 is an abundant number, since it is smaller than the sum of its proper divisors (74337048).

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

40661352 is a wasteful number, since it uses less digits than its factorization.

40661352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40661352 is about 6376.6254398388. The cubic root of 40661352 is about 343.8697226172.

Adding to 40661352 its reverse (25316604), we get a palindrome (65977956).

The spelling of 40661352 in words is "forty million, six hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 479 524 648 786 958 1048 1179 1437 1572 1916 2358 2874 3144 3537 3832 4311 4716 5748 7074 8622 9432 10611 11496 12933 14148 17244 21222 25866 28296 34488 38799 42444 51732 62749 77598 84888 103464 125498 155196 188247 250996 310392 376494 501992 564741 752988 1129482 1505976 1694223 2258964 3388446 4517928 5082669 6776892 10165338 13553784 20330676 40661352