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476440040 = 23519736037
BaseRepresentation
bin11100011001011…
…110010111101000
31020012111122212102
4130121132113220
51433432040130
6115135432532
714543450006
oct3431362750
91205448772
10476440040
11224a354aa
12113685748
13779264ab
14473c1a76
152bc62645
hex1c65e5e8

476440040 has 32 divisors (see below), whose sum is σ = 1072711080. Its totient is φ = 190447872.

The previous prime is 476440007. The next prime is 476440061. The reversal of 476440040 is 40044674.

It can be written as a sum of positive squares in 4 ways, for example, as 241553764 + 234886276 = 15542^2 + 15326^2 .

It is a super-2 number, since 2×4764400402 = 453990223430403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 476439985 and 476440012.

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, 75902 + ... + 81938.

Almost surely, 2476440040 is an apocalyptic number.

476440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476440040 is an abundant number, since it is smaller than the sum of its proper divisors (596271040).

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

476440040 is a wasteful number, since it uses less digits than its factorization.

476440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8021 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 476440040 is about 21827.5064998272. The cubic root of 476440040 is about 781.0330602771.

The spelling of 476440040 in words is "four hundred seventy-six million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1973 3946 6037 7892 9865 12074 15784 19730 24148 30185 39460 48296 60370 78920 120740 241480 11911001 23822002 47644004 59555005 95288008 119110010 238220020 476440040