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40779136 = 273143239
BaseRepresentation
bin1001101110001…
…1110110000000
32211201210110101
42123203312000
540414413021
64014012144
71003421416
oct233436600
984653411
1040779136
1121022a72
12117a7054
1385aa388
1455b72b6
1538a7a91
hex26e3d80

40779136 has 64 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 19192320.

The previous prime is 40779131. The next prime is 40779139. The reversal of 40779136 is 63197704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40779095 and 40779104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40779131) 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, 170505 + ... + 170743.

It is an arithmetic number, because the mean of its divisors is an integer number (1346400).

Almost surely, 240779136 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 40779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

40779136 is an abundant number, since it is smaller than the sum of its proper divisors (45390464).

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

40779136 is a wasteful number, since it uses less digits than its factorization.

40779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 40779136 is about 6385.8543672715. The cubic root of 40779136 is about 344.2014324139.

The spelling of 40779136 in words is "forty million, seven hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 239 248 344 478 496 688 956 992 1333 1376 1912 1984 2666 2752 3824 3968 5332 5504 7409 7648 10277 10664 14818 15296 20554 21328 29636 30592 41108 42656 59272 82216 85312 118544 164432 170624 237088 318587 328864 474176 637174 657728 948352 1274348 1315456 2548696 5097392 10194784 20389568 40779136