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40039290 = 232531113127
BaseRepresentation
bin1001100010111…
…1001101111010
32210100012120200
42120233031322
540222224130
63550103030
7664220424
oct230571572
983305520
1040039290
1120668125
12114aaa76
1383ab6b5
145463814
1537ad760
hex262f37a

40039290 has 96 divisors (see below), whose sum is σ = 109264896. Its totient is φ = 10160640.

The previous prime is 40039249. The next prime is 40039313. The reversal of 40039290 is 9293004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315207 + ... + 315333.

It is an arithmetic number, because the mean of its divisors is an integer number (1138176).

Almost surely, 240039290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40039290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54632448).

40039290 is an abundant number, since it is smaller than the sum of its proper divisors (69225606).

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

40039290 is a wasteful number, since it uses less digits than its factorization.

40039290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40039290 is about 6327.6607051896. The cubic root of 40039290 is about 342.1071276178.

The spelling of 40039290 in words is "forty million, thirty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 113 127 155 186 226 254 279 310 339 381 465 558 565 635 678 762 930 1017 1130 1143 1270 1395 1695 1905 2034 2286 2790 3390 3503 3810 3937 5085 5715 7006 7874 10170 10509 11430 11811 14351 17515 19685 21018 23622 28702 31527 35030 35433 39370 43053 52545 59055 63054 70866 71755 86106 105090 118110 129159 143510 157635 177165 215265 258318 315270 354330 430530 444881 645795 889762 1291590 1334643 2224405 2669286 4003929 4448810 6673215 8007858 13346430 20019645 40039290