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40436064 = 2533172753
BaseRepresentation
bin1001101001000…
…0000101100000
32211002100212000
42122100011200
540322423224
64002404000
71000462254
oct232200540
984070760
1040436064
1120909239
1211660600
1384ba186
145528264
15383b0c9
hex2690160

40436064 has 96 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 12681216.

The previous prime is 40436029. The next prime is 40436069. The reversal of 40436064 is 46063404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40436069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13312 + ... + 16064.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 240436064 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 40436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).

40436064 is an abundant number, since it is smaller than the sum of its proper divisors (84485376).

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

40436064 is a wasteful number, since it uses less digits than its factorization.

40436064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40436064 is about 6358.9357600152. The cubic root of 40436064 is about 343.2334653660.

Adding to 40436064 its reverse (46063404), we get a palindrome (86499468).

The spelling of 40436064 in words is "forty million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 2753 3672 4896 5506 7344 8259 11012 14688 16518 22024 24777 33036 44048 46801 49554 66072 74331 88096 93602 99108 132144 140403 148662 187204 198216 264288 280806 297324 374408 396432 421209 561612 594648 748816 792864 842418 1123224 1189296 1263627 1497632 1684836 2246448 2378592 2527254 3369672 4492896 5054508 6739344 10109016 13478688 20218032 40436064