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2046938208 = 25373046039
BaseRepresentation
bin111101000000001…
…1100110001100000
312021122200020100020
41322000130301200
513143004010313
6535040553440
7101503454610
oct17200346140
95248606306
102046938208
11960496a77
12491622880
132680ccc53
14155bd6a40
15bea85323
hex7a01cc60

2046938208 has 48 divisors (see below), whose sum is σ = 6140816640. Its totient is φ = 584839296.

The previous prime is 2046938203. The next prime is 2046938209. The reversal of 2046938208 is 8028396402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2046938208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046938203) 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, 1522348 + ... + 1523691.

It is an arithmetic number, because the mean of its divisors is an integer number (127933680).

Almost surely, 22046938208 is an apocalyptic number.

2046938208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2046938208 is an abundant number, since it is smaller than the sum of its proper divisors (4093878432).

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

2046938208 is a wasteful number, since it uses less digits than its factorization.

2046938208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046059 (or 3046051 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2046938208 is about 45243.1012199650. The cubic root of 2046938208 is about 1269.7013388266.

The spelling of 2046938208 in words is "two billion, forty-six million, nine hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3046039 6092078 9138117 12184156 18276234 21322273 24368312 36552468 42644546 48736624 63966819 73104936 85289092 97473248 127933638 146209872 170578184 255867276 292419744 341156368 511734552 682312736 1023469104 2046938208