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12508992 = 263419127
BaseRepresentation
bin101111101101…
…111101000000
3212112112010000
4233231331000
511200241432
61124040000
7211216236
oct57557500
925475100
1012508992
117074211
124233000
13278c892
141938956
15117157c
hexbedf40

12508992 has 140 divisors (see below), whose sum is σ = 39339520. Its totient is φ = 3919104.

The previous prime is 12508981. The next prime is 12508999. The reversal of 12508992 is 29980521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12508999) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98433 + ... + 98559.

Almost surely, 212508992 is an apocalyptic number.

12508992 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 12508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669760).

12508992 is an abundant number, since it is smaller than the sum of its proper divisors (26830528).

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

12508992 is a wasteful number, since it uses less digits than its factorization.

12508992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12508992 is about 3536.8053381548. The cubic root of 12508992 is about 232.1350778977.

The spelling of 12508992 in words is "twelve million, five hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 127 144 152 162 171 192 216 228 254 288 304 324 342 381 432 456 508 513 576 608 648 684 762 864 912 1016 1026 1143 1216 1296 1368 1524 1539 1728 1824 2032 2052 2286 2413 2592 2736 3048 3078 3429 3648 4064 4104 4572 4826 5184 5472 6096 6156 6858 7239 8128 8208 9144 9652 10287 10944 12192 12312 13716 14478 16416 18288 19304 20574 21717 24384 24624 27432 28956 32832 36576 38608 41148 43434 49248 54864 57912 65151 73152 77216 82296 86868 98496 109728 115824 130302 154432 164592 173736 195453 219456 231648 260604 329184 347472 390906 463296 521208 658368 694944 781812 1042416 1389888 1563624 2084832 3127248 4169664 6254496 12508992