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1004219808 = 25325314133
BaseRepresentation
bin111011110110110…
…010110110100000
32120222121122121020
4323312302312200
54024040013213
6243351525440
733612504354
oct7366626640
92528548536
101004219808
11475946229
12240389880
13130086b07
1497529464
155d266923
hex3bdb2da0

1004219808 has 48 divisors (see below), whose sum is σ = 2637756576. Its totient is φ = 334526720.

The previous prime is 1004219803. The next prime is 1004219809. The reversal of 1004219808 is 8089124001.

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

It is not an unprimeable number, because it can be changed into a prime (1004219803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240910 + ... + 245042.

It is an arithmetic number, because the mean of its divisors is an integer number (54953262).

Almost surely, 21004219808 is an apocalyptic number.

It is an amenable number.

1004219808 is an abundant number, since it is smaller than the sum of its proper divisors (1633536768).

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

1004219808 is a wasteful number, since it uses less digits than its factorization.

1004219808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1004219808 is about 31689.4273851706. The cubic root of 1004219808 is about 1001.4046287609.

The spelling of 1004219808 in words is "one billion, four million, two hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2531 4133 5062 7593 8266 10124 12399 15186 16532 20248 24798 30372 33064 40496 49596 60744 66128 80992 99192 121488 132256 198384 242976 396768 10460623 20921246 31381869 41842492 62763738 83684984 125527476 167369968 251054952 334739936 502109904 1004219808