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40676416 = 2611193041
BaseRepresentation
bin1001101100101…
…0110001000000
32211112120112221
42123022301000
540403121131
64011500424
71002513064
oct233126100
984476487
1040676416
1120a62880
1211757714
1385726b1
14558baa4
153887411
hex26cac40

40676416 has 56 divisors (see below), whose sum is σ = 92720160. Its totient is φ = 17510400.

The previous prime is 40676411. The next prime is 40676459. The reversal of 40676416 is 61467604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40676411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11856 + ... + 14896.

Almost surely, 240676416 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 40676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

40676416 is an abundant number, since it is smaller than the sum of its proper divisors (52043744).

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

40676416 is a wasteful number, since it uses less digits than its factorization.

40676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 40676416 is about 6377.8065194861. The cubic root of 40676416 is about 343.9121823789.

The spelling of 40676416 in words is "forty million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3041 3344 6082 6688 12164 13376 24328 33451 48656 57779 66902 97312 115558 133804 194624 231116 267608 462232 535216 635569 924464 1070432 1271138 1848928 2140864 2542276 3697856 5084552 10169104 20338208 40676416