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472841640 = 233251313449
BaseRepresentation
bin11100001011101…
…111110110101000
31012221201211210100
4130023233312220
51432021413030
6114530345400
714501042025
oct3413576650
91187654710
10472841640
112229a7a17
1211242b260
1376c6666b
1446b2654c
152b7a1360
hex1c2efda8

472841640 has 48 divisors (see below), whose sum is σ = 1536736500. Its totient is φ = 126091008.

The previous prime is 472841639. The next prime is 472841641. The reversal of 472841640 is 46148274.

472841640 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 4 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (472841639) and next prime (472841641).

It can be written as a sum of positive squares in 2 ways, for example, as 467337924 + 5503716 = 21618^2 + 2346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 472841595 and 472841604.

It is not an unprimeable number, because it can be changed into a prime (472841641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656365 + ... + 657084.

Almost surely, 2472841640 is an apocalyptic number.

472841640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472841640 is an abundant number, since it is smaller than the sum of its proper divisors (1063894860).

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

472841640 is a wasteful number, since it uses less digits than its factorization.

472841640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313466 (or 1313459 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 472841640 is about 21744.9221658759. The cubic root of 472841640 is about 779.0617910769.

The spelling of 472841640 in words is "four hundred seventy-two million, eight hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1313449 2626898 3940347 5253796 6567245 7880694 10507592 11821041 13134490 15761388 19701735 23642082 26268980 31522776 39403470 47284164 52537960 59105205 78806940 94568328 118210410 157613880 236420820 472841640