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2389972900 = 2252731241457
BaseRepresentation
bin1000111001110100…
…0001011110100100
320011120011012110211
42032131001132210
514343313113100
61033053225204
7113140302010
oct21635013644
96146135424
102389972900
111017094017
12568492204
132c11b7963
141895ad540
15dec451ba
hex8e7417a4

2389972900 has 144 divisors (see below), whose sum is σ = 6157161472. Its totient is φ = 787968000.

The previous prime is 2389972891. The next prime is 2389972909. The reversal of 2389972900 is 92799832.

It is an interprime number because it is at equal distance from previous prime (2389972891) and next prime (2389972909).

It is not an unprimeable number, because it can be changed into a prime (2389972909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5229472 + ... + 5229928.

Almost surely, 22389972900 is an apocalyptic number.

2389972900 is a gapful number since it is divisible by the number (20) 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 2389972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078580736).

2389972900 is an abundant number, since it is smaller than the sum of its proper divisors (3767188572).

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

2389972900 is a wasteful number, since it uses less digits than its factorization.

2389972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 2389972900 is about 48887.3490792864. The cubic root of 2389972900 is about 1336.9987220994.

The spelling of 2389972900 in words is "two billion, three hundred eighty-nine million, nine hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 241 310 350 434 457 482 620 700 775 868 914 964 1085 1205 1550 1687 1828 2170 2285 2410 3100 3199 3374 4340 4570 4820 5425 6025 6398 6748 7471 8435 9140 10850 11425 12050 12796 14167 14942 15995 16870 21700 22850 24100 28334 29884 31990 33740 37355 42175 45700 52297 56668 63980 70835 74710 79975 84350 99169 104594 110137 141670 149420 159950 168700 186775 198338 209188 220274 261485 283340 319900 354175 373550 396676 440548 495845 522970 550685 708350 747100 770959 991690 1045940 1101370 1307425 1416700 1541918 1983380 2202740 2479225 2614850 2753425 3083836 3414247 3854795 4958450 5229700 5506850 6828494 7709590 9916900 11013700 13656988 15419180 17071235 19273975 23899729 34142470 38547950 47799458 68284940 77095900 85356175 95598916 119498645 170712350 238997290 341424700 477994580 597493225 1194986450 2389972900