Search a number
-
+
40292136 = 23322329839
BaseRepresentation
bin1001100110110…
…0111100101000
32210211001102100
42121230330220
540303322021
63555333400
7666322533
oct231547450
983731370
1040292136
1120820095
12115b1260
138469801
1454cba1a
15380d626
hex266cf28

40292136 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 12388992.

The previous prime is 40292129. The next prime is 40292167. The reversal of 40292136 is 63129204.

40292136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47605 + ... + 48443.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 240292136 is an apocalyptic number.

40292136 is a gapful number since it is divisible by the number (46) 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 40292136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

40292136 is an abundant number, since it is smaller than the sum of its proper divisors (77643864).

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

40292136 is a wasteful number, since it uses less digits than its factorization.

40292136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40292136 is about 6347.6086835910. The cubic root of 40292136 is about 342.8257465298.

The spelling of 40292136 in words is "forty million, two hundred ninety-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 839 1044 1334 1656 1678 2001 2088 2517 2668 3356 4002 5034 5336 6003 6712 7551 8004 10068 12006 15102 16008 19297 20136 24012 24331 30204 38594 48024 48662 57891 60408 72993 77188 97324 115782 145986 154376 173673 194648 218979 231564 291972 347346 437958 463128 559613 583944 694692 875916 1119226 1389384 1678839 1751832 2238452 3357678 4476904 5036517 6715356 10073034 13430712 20146068 40292136