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465208240 = 2457830729
BaseRepresentation
bin11011101110101…
…000001110110000
31012102101000201211
4123232220032300
51423043130430
6114055005504
714346130150
oct3356501660
91172330654
10465208240
11219663922
1210b969894
13754c3063
1445ada760
152ac9472a
hex1bba83b0

465208240 has 40 divisors (see below), whose sum is σ = 1236126240. Its totient is φ = 159499776.

The previous prime is 465208229. The next prime is 465208241. The reversal of 465208240 is 42802564.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (465208241) 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, 414805 + ... + 415924.

It is an arithmetic number, because the mean of its divisors is an integer number (30903156).

Almost surely, 2465208240 is an apocalyptic number.

465208240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465208240 is an abundant number, since it is smaller than the sum of its proper divisors (770918000).

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

465208240 is a wasteful number, since it uses less digits than its factorization.

465208240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830749 (or 830743 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 465208240 is about 21568.6865617728. The cubic root of 465208240 is about 774.8467209873.

The spelling of 465208240 in words is "four hundred sixty-five million, two hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 830729 1661458 3322916 4153645 5815103 6645832 8307290 11630206 13291664 16614580 23260412 29075515 33229160 46520824 58151030 66458320 93041648 116302060 232604120 465208240