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470290040 = 235111762873
BaseRepresentation
bin11100000010000…
…000111001111000
31012202221012122122
4130002000321320
51430343240130
6114355540412
714440253663
oct3402007170
91182835578
10470290040
11221514960
121115ba708
137658213c
14466606da
152b44a2e5
hex1c080e78

470290040 has 64 divisors (see below), whose sum is σ = 1222270560. Its totient is φ = 160952320.

The previous prime is 470290031. The next prime is 470290043. The reversal of 470290040 is 40092074.

It is a junction number, because it is equal to n+sod(n) for n = 470289991 and 470290009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470290043) 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, 23957 + ... + 38916.

Almost surely, 2470290040 is an apocalyptic number.

470290040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470290040 is an abundant number, since it is smaller than the sum of its proper divisors (751980520).

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

470290040 is a wasteful number, since it uses less digits than its factorization.

470290040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62912 (or 62908 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 470290040 is about 21686.1716307881. The cubic root of 470290040 is about 777.6579098418.

The spelling of 470290040 in words is "four hundred seventy million, two hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 62873 125746 251492 314365 502984 628730 691603 1068841 1257460 1383206 2137682 2514920 2766412 3458015 4275364 5344205 5532824 6916030 8550728 10688410 11757251 13832060 21376820 23514502 27664120 42753640 47029004 58786255 94058008 117572510 235145020 470290040