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40777764 = 22317474253
BaseRepresentation
bin1001101110001…
…1100000100100
32211201201120120
42123203200210
540414342024
64014001540
71003414416
oct233434044
984651516
1040777764
1121021a35
12117a62b0
1385a9871
1455b69b6
1538a7479
hex26e3824

40777764 has 48 divisors (see below), whose sum is σ = 102912768. Its totient is φ = 12517888.

The previous prime is 40777757. The next prime is 40777769. The reversal of 40777764 is 46777704.

It is not an unprimeable number, because it can be changed into a prime (40777769) 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 15 ways as a sum of consecutive naturals, for example, 7462 + ... + 11714.

It is an arithmetic number, because the mean of its divisors is an integer number (2144016).

Almost surely, 240777764 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 40777764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51456384).

40777764 is an abundant number, since it is smaller than the sum of its proper divisors (62135004).

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

40777764 is a wasteful number, since it uses less digits than its factorization.

40777764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 40777764 is about 6385.7469414314. The cubic root of 40777764 is about 344.1975721911.

The spelling of 40777764 in words is "forty million, seven hundred seventy-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4253 4794 8506 9588 12759 17012 25518 51036 72301 144602 199891 216903 289204 399782 433806 599673 799564 867612 1199346 2398692 3398147 6796294 10194441 13592588 20388882 40777764