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40473680 = 2451338917
BaseRepresentation
bin1001101001100…
…1010001010000
32211011021110012
42122121101100
540330124210
64003254052
71001010032
oct232312120
984137405
1040473680
1120934525
121167a328
138501330
145537c52
153847305
hex2699450

40473680 has 40 divisors (see below), whose sum is σ = 101342472. Its totient is φ = 14943744.

The previous prime is 40473659. The next prime is 40473703. The reversal of 40473680 is 8637404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 40094224 = 616^2 + 6332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×404736804 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18419 + ... + 20498.

Almost surely, 240473680 is an apocalyptic number.

40473680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40473680 is an abundant number, since it is smaller than the sum of its proper divisors (60868792).

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

40473680 is a wasteful number, since it uses less digits than its factorization.

40473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38943 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 40473680 is about 6361.8928001028. The cubic root of 40473680 is about 343.3398643514.

The spelling of 40473680 in words is "forty million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 38917 77834 155668 194585 311336 389170 505921 622672 778340 1011842 1556680 2023684 2529605 3113360 4047368 5059210 8094736 10118420 20236840 40473680