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188009472 = 2103721249
BaseRepresentation
bin10110011010011…
…00110000000000
3111002202212111210
423031030300000
5341112300342
630353410120
74442024400
oct1315146000
9432685453
10188009472
1197143332
1252b69940
132cc49711
141ad80800
151178b79c
hexb34cc00

188009472 has 132 divisors (see below), whose sum is σ = 583395000. Its totient is φ = 53673984.

The previous prime is 188009461. The next prime is 188009473. The reversal of 188009472 is 274900881.

It is a self number, because there is not a number n which added to its sum of digits gives 188009472.

It is not an unprimeable number, because it can be changed into a prime (188009473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149904 + ... + 151152.

Almost surely, 2188009472 is an apocalyptic number.

188009472 is a gapful number since it is divisible by the number (12) 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 188009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291697500).

188009472 is an abundant number, since it is smaller than the sum of its proper divisors (395385528).

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

188009472 is a wasteful number, since it uses less digits than its factorization.

188009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 188009472 is about 13711.6546047514. The cubic root of 188009472 is about 572.8750523256.

The spelling of 188009472 in words is "one hundred eighty-eight million, nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1249 1344 1536 1568 1792 2352 2498 2688 3072 3136 3584 3747 4704 4996 5376 6272 7168 7494 8743 9408 9992 10752 12544 14988 17486 18816 19984 21504 25088 26229 29976 34972 37632 39968 50176 52458 59952 61201 69944 75264 79936 104916 119904 122402 139888 150528 159872 183603 209832 239808 244804 279776 319744 367206 419664 479616 489608 559552 639488 734412 839328 959232 979216 1119104 1278976 1468824 1678656 1918464 1958432 2238208 2937648 3357312 3836928 3916864 4476416 5875296 6714624 7833728 8952832 11750592 13429248 15667456 23501184 26858496 31334912 47002368 62669824 94004736 188009472