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40790592 = 2632233079
BaseRepresentation
bin1001101110011…
…0101001000000
32211202101011200
42123212221000
540420244332
64014141200
71003500003
oct233465100
984671150
1040790592
1121030637
12117b1800
1385b265b
1455bb53a
1538ab17c
hex26e6a40

40790592 has 84 divisors (see below), whose sum is σ = 122041920. Its totient is φ = 13001472.

The previous prime is 40790591. The next prime is 40790593. The reversal of 40790592 is 29509704.

It is an interprime number because it is at equal distance from previous prime (40790591) and next prime (40790593).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40790591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11709 + ... + 14787.

It is an arithmetic number, because the mean of its divisors is an integer number (1452880).

Almost surely, 240790592 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 40790592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

40790592 is an abundant number, since it is smaller than the sum of its proper divisors (81251328).

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

40790592 is a wasteful number, since it uses less digits than its factorization.

40790592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40790592 is about 6386.7512868437. The cubic root of 40790592 is about 344.2336613330.

The spelling of 40790592 in words is "forty million, seven hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3079 3312 4416 6158 6624 9237 12316 13248 18474 24632 27711 36948 49264 55422 70817 73896 98528 110844 141634 147792 197056 212451 221688 283268 295584 424902 443376 566536 591168 637353 849804 886752 1133072 1274706 1699608 1773504 2266144 2549412 3399216 4532288 5098824 6798432 10197648 13596864 20395296 40790592