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1904381696 = 2872334561
BaseRepresentation
bin111000110000010…
…1000111100000000
311220201102121120102
41301200220330000
512400010203241
6512545301532
765122656140
oct16140507400
94821377512
101904381696
11897a79178
124519348a8
13244709099
14140cc8920
15b22c639b
hex71828f00

1904381696 has 72 divisors (see below), whose sum is σ = 4363972704. Its totient is φ = 812482560.

The previous prime is 1904381651. The next prime is 1904381707. The reversal of 1904381696 is 6961834091.

It is a Smith number, since the sum of its digits (47) 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 1904381696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415256 + ... + 419816.

It is an arithmetic number, because the mean of its divisors is an integer number (60610732).

Almost surely, 21904381696 is an apocalyptic number.

1904381696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181986352).

1904381696 is an abundant number, since it is smaller than the sum of its proper divisors (2459591008).

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

1904381696 is an equidigital number, since it uses as much as digits as its factorization.

1904381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 1904381696 is about 43639.2219912317. The cubic root of 1904381696 is about 1239.5137045606.

The spelling of 1904381696 in words is "one billion, nine hundred four million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 256 448 466 896 932 1631 1792 1864 3262 3728 4561 6524 7456 9122 13048 14912 18244 26096 29824 31927 36488 52192 59648 63854 72976 104384 127708 145952 208768 255416 291904 417536 510832 583808 1021664 1062713 1167616 2043328 2125426 4086656 4250852 7438991 8173312 8501704 14877982 17003408 29755964 34006816 59511928 68013632 119023856 136027264 238047712 272054528 476095424 952190848 1904381696