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40056464 = 2473183139
BaseRepresentation
bin1001100011001…
…1011010010000
32210101002010202
42120303122100
540223301324
63550314332
7664321460
oct230633220
983332122
1040056464
112067a018
12114b89a8
1383b6466
145469ba0
1537b38ae
hex2633690

40056464 has 80 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 16295040.

The previous prime is 40056463. The next prime is 40056473. The reversal of 40056464 is 46465004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40056463) 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, 288107 + ... + 288245.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 240056464 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 40056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

40056464 is an abundant number, since it is smaller than the sum of its proper divisors (53270896).

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

40056464 is a wasteful number, since it uses less digits than its factorization.

40056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 40056464 is about 6329.0176172926. The cubic root of 40056464 is about 342.1560338128.

The spelling of 40056464 in words is "forty million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 139 166 217 248 278 332 434 496 556 581 664 868 973 1112 1162 1328 1736 1946 2224 2324 2573 3472 3892 4309 4648 5146 7784 8618 9296 10292 11537 15568 17236 18011 20584 23074 30163 34472 36022 41168 46148 60326 68944 72044 80759 92296 120652 144088 161518 184592 241304 288176 323036 357647 482608 646072 715294 1292144 1430588 2503529 2861176 5007058 5722352 10014116 20028232 40056464