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40462136 = 231113113313
BaseRepresentation
bin1001101001011…
…0011100111000
32211010200121122
42122112130320
540324242021
64003124412
71000631261
oct232263470
984120548
1040462136
1120926890
1211673708
1384c8cc0
145533968
153843bab
hex2696738

40462136 has 64 divisors (see below), whose sum is σ = 90205920. Its totient is φ = 16773120.

The previous prime is 40462133. The next prime is 40462139. The reversal of 40462136 is 63126404.

40462136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40462133) and next prime (40462139).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40462133) by changing a digit.

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, 129116 + ... + 129428.

Almost surely, 240462136 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 40462136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102960).

40462136 is an abundant number, since it is smaller than the sum of its proper divisors (49743784).

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

40462136 is a wasteful number, since it uses less digits than its factorization.

40462136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 40462136 is about 6360.9854582447. The cubic root of 40462136 is about 343.3072185078.

The spelling of 40462136 in words is "forty million, four hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 113 143 226 286 313 452 572 626 904 1144 1243 1252 1469 2486 2504 2938 3443 4069 4972 5876 6886 8138 9944 11752 13772 16159 16276 27544 32318 32552 35369 44759 64636 70738 89518 129272 141476 179036 282952 358072 389059 459797 778118 919594 1556236 1839188 3112472 3678376 5057767 10115534 20231068 40462136