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40764438 = 23311135279
BaseRepresentation
bin1001101110000…
…0010000010110
32211201001022000
42123200100112
540413430223
64013420130
71003330521
oct233402026
984631260
1040764438
1121012a20
121179a646
1385a3790
1455b1bb8
1538a3543
hex26e0416

40764438 has 64 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 11400480.

The previous prime is 40764431. The next prime is 40764439. The reversal of 40764438 is 83446704.

40764438 is a `hidden beast` number, since 4 + 0 + 7 + 644 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40764431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5083 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 240764438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40764438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

40764438 is an abundant number, since it is smaller than the sum of its proper divisors (65680362).

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

40764438 is a wasteful number, since it uses less digits than its factorization.

40764438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 40764438 is about 6384.7034386884. The cubic root of 40764438 is about 344.1600740047.

The spelling of 40764438 in words is "forty million, seven hundred sixty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 5279 7722 10558 15837 31674 47511 58069 68627 95022 116138 137254 142533 174207 205881 285066 348414 411762 522621 617643 754897 1045242 1235286 1509794 1567863 1852929 2264691 3135726 3705858 4529382 6794073 13588146 20382219 40764438