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408028872 = 23333295107
BaseRepresentation
bin11000010100100…
…000011011001000
31001102210000101110
4120110200123020
51313423410442
6104253250320
713053121356
oct3024403310
91042700343
10408028872
1119a35a149
12b47939a0
13666c2c04
143c2947d6
1525c4c69c
hex185206c8

408028872 has 32 divisors (see below), whose sum is σ = 1020578400. Its totient is φ = 135942144.

The previous prime is 408028871. The next prime is 408028891. The reversal of 408028872 is 278820804.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 408028872.

It is not an unprimeable number, because it can be changed into a prime (408028871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77343 + ... + 82449.

It is an arithmetic number, because the mean of its divisors is an integer number (31893075).

Almost surely, 2408028872 is an apocalyptic number.

It is an amenable number.

408028872 is an abundant number, since it is smaller than the sum of its proper divisors (612549528).

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

408028872 is a wasteful number, since it uses less digits than its factorization.

408028872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 408028872 is about 20199.7245525774. The cubic root of 408028872 is about 741.7034485034.

The spelling of 408028872 in words is "four hundred eight million, twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 3329 5107 6658 9987 10214 13316 15321 19974 20428 26632 30642 39948 40856 61284 79896 122568 17001203 34002406 51003609 68004812 102007218 136009624 204014436 408028872