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3768492 = 22372131729
BaseRepresentation
bin1110011000000010101100
321002110101210
432120002230
51431042432
6212434420
744013600
oct16300254
97073353
103768492
112144362
121318a10
13a1c3a0
14701500
154e68cc
hex3980ac

3768492 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 903168.

The previous prime is 3768473. The next prime is 3768493. The reversal of 3768492 is 2948673.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3768492.

It is not an unprimeable number, because it can be changed into a prime (3768493) 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, 129934 + ... + 129962.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 23768492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3768492 is an abundant number, since it is smaller than the sum of its proper divisors (8297268).

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

3768492 is a wasteful number, since it uses less digits than its factorization.

3768492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3768492 is about 1941.2604152972. The cubic root of 3768492 is about 155.6165797609.

The spelling of 3768492 in words is "three million, seven hundred sixty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 29 34 39 42 49 51 52 58 68 78 84 87 91 98 102 116 119 147 156 174 182 196 203 204 221 238 273 294 348 357 364 377 406 442 476 493 546 588 609 637 663 714 754 812 833 884 986 1092 1131 1218 1274 1326 1421 1428 1479 1508 1547 1666 1911 1972 2262 2436 2499 2548 2639 2652 2842 2958 3094 3332 3451 3822 4263 4524 4641 4998 5278 5684 5916 6188 6409 6902 7644 7917 8526 9282 9996 10353 10556 10829 12818 13804 15834 17052 18473 18564 19227 20706 21658 24157 25636 31668 32487 36946 38454 41412 43316 44863 48314 55419 64974 72471 73892 76908 89726 96628 110838 129948 134589 144942 179452 221676 269178 289884 314041 538356 628082 942123 1256164 1884246 3768492