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1900889856 = 283530557
BaseRepresentation
bin111000101001101…
…0100011100000000
311220110212012200000
41301103110130000
512343111433411
6512342400000
765051203635
oct16123243400
94813765600
101900889856
11896003758
12450730000
13243a858c8
1414065a18c
15b1d36956
hex714d4700

1900889856 has 108 divisors (see below), whose sum is σ = 5683910232. Its totient is φ = 633609216.

The previous prime is 1900889849. The next prime is 1900889909. The reversal of 1900889856 is 6589880091.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×19008898562 = 7226764489287401472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46930 + ... + 77486.

Almost surely, 21900889856 is an apocalyptic number.

1900889856 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 1900889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841955116).

1900889856 is an abundant number, since it is smaller than the sum of its proper divisors (3783020376).

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

1900889856 is an frugal number, since it uses more digits than its factorization.

1900889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 1900889856 is about 43599.1955889097. The cubic root of 1900889856 is about 1238.7556577186.

The spelling of 1900889856 in words is "one billion, nine hundred million, eight hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 30557 31104 61114 62208 91671 122228 183342 244456 275013 366684 488912 550026 733368 825039 977824 1100052 1466736 1650078 1955648 2200104 2475117 2933472 3300156 3911296 4400208 4950234 5866944 6600312 7425351 7822592 8800416 9900468 11733888 13200624 14850702 17600832 19800936 23467776 26401248 29701404 35201664 39601872 52802496 59402808 70403328 79203744 105604992 118805616 158407488 211209984 237611232 316814976 475222464 633629952 950444928 1900889856