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40842324 = 22321929271
BaseRepresentation
bin1001101111001…
…1010001010100
32211212000010200
42123303101110
540423423244
64015220500
71004103555
oct233632124
984760120
1040842324
1121066496
1211817730
138600073
1455d232c
1538bb669
hex26f3454

40842324 has 108 divisors (see below), whose sum is σ = 114135840. Its totient is φ = 12277440.

The previous prime is 40842323. The next prime is 40842341. The reversal of 40842324 is 42324804.

It is a happy number.

40842324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40842323) 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 35 ways as a sum of consecutive naturals, for example, 575209 + ... + 575279.

Almost surely, 240842324 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 40842324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57067920).

40842324 is an abundant number, since it is smaller than the sum of its proper divisors (73293516).

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

40842324 is a wasteful number, since it uses less digits than its factorization.

40842324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40842324 is about 6390.7999499280. The cubic root of 40842324 is about 344.3791227577.

The spelling of 40842324 in words is "forty million, eight hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 71 76 87 114 116 142 171 174 213 228 261 284 342 348 426 522 551 639 684 841 852 1044 1102 1278 1349 1653 1682 2059 2204 2523 2556 2698 3306 3364 4047 4118 4959 5046 5396 6177 6612 7569 8094 8236 9918 10092 12141 12354 15138 15979 16188 18531 19836 24282 24708 30276 31958 37062 39121 47937 48564 59711 63916 74124 78242 95874 117363 119422 143811 156484 179133 191748 234726 238844 287622 352089 358266 469452 537399 575244 704178 716532 1074798 1134509 1408356 2149596 2269018 3403527 4538036 6807054 10210581 13614108 20421162 40842324