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40541592 = 23371319977
BaseRepresentation
bin1001101010100…
…1110110011000
32211021201121110
42122221312120
540334312332
64004540320
71001412030
oct232516630
984251543
1040541592
1120980553
12116b16a0
138526210
1455548c0
15385c4cc
hex26a9d98

40541592 has 128 divisors (see below), whose sum is σ = 131443200. Its totient is φ = 10119168.

The previous prime is 40541591. The next prime is 40541593. The reversal of 40541592 is 29514504.

40541592 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 (40541591) and next prime (40541593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40541591) 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 31 ways as a sum of consecutive naturals, for example, 41008 + ... + 41984.

It is an arithmetic number, because the mean of its divisors is an integer number (1026900).

Almost surely, 240541592 is an apocalyptic number.

40541592 is a gapful number since it is divisible by the number (42) 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 40541592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65721600).

40541592 is an abundant number, since it is smaller than the sum of its proper divisors (90901608).

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

40541592 is a wasteful number, since it uses less digits than its factorization.

40541592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 40541592 is about 6367.2279682763. The cubic root of 40541592 is about 343.5317904594.

The spelling of 40541592 in words is "forty million, five hundred forty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 977 988 1064 1092 1482 1596 1729 1954 1976 2184 2931 2964 3192 3458 3908 5187 5862 5928 6839 6916 7816 10374 11724 12701 13678 13832 18563 20517 20748 23448 25402 27356 37126 38103 41034 41496 50804 54712 55689 74252 76206 82068 88907 101608 111378 129941 148504 152412 164136 177814 222756 241319 259882 266721 304824 355628 389823 445512 482638 519764 533442 711256 723957 779646 965276 1039528 1066884 1447914 1559292 1689233 1930552 2133768 2895828 3118584 3378466 5067699 5791656 6756932 10135398 13513864 20270796 40541592