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627424020 = 2232518672
BaseRepresentation
bin100101011001011…
…011101100010100
31121201121102221200
4211121123230110
52241110032040
6142131512500
721356005356
oct4531335424
91551542850
10627424020
112a2189a53
12156158730
139ccab222
145d4850d6
153a138630
hex2565bb14

627424020 has 54 divisors (see below), whose sum is σ = 1904206122. Its totient is φ = 167223456.

The previous prime is 627424013. The next prime is 627424067. The reversal of 627424020 is 20424726.

It is a happy number.

627424020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501939216 + 125484804 = 22404^2 + 11202^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335127 + ... + 336993.

Almost surely, 2627424020 is an apocalyptic number.

627424020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

627424020 is an abundant number, since it is smaller than the sum of its proper divisors (1276782102).

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

627424020 is a wasteful number, since it uses less digits than its factorization.

627424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 627424020 is about 25048.4334839526. The cubic root of 627424020 is about 856.0918849890.

Adding to 627424020 its reverse (20424726), we get a palindrome (647848746).

The spelling of 627424020 in words is "six hundred twenty-seven million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1867 3734 5601 7468 9335 11202 16803 18670 22404 28005 33606 37340 56010 67212 84015 112020 168030 336060 3485689 6971378 10457067 13942756 17428445 20914134 31371201 34856890 41828268 52285335 62742402 69713780 104570670 125484804 156856005 209141340 313712010 627424020