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11928492 = 2233177389
BaseRepresentation
bin101101100000…
…001110101100
3211110000211000
4231200032230
511023202432
61103400300
7203250642
oct55401654
924400730
1011928492
116808064
123bb3090
1326185a4
141827192
1510a957c
hexb603ac

11928492 has 96 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 3649536.

The previous prime is 11928487. The next prime is 11928517. The reversal of 11928492 is 29482911.

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

Its product of digits (10368) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133984 + ... + 134072.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 211928492 is an apocalyptic number.

11928492 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 11928492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

11928492 is an abundant number, since it is smaller than the sum of its proper divisors (21637908).

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

11928492 is a wasteful number, since it uses less digits than its factorization.

11928492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11928492 is about 3453.7649022480. The cubic root of 11928492 is about 228.4871853983.

The spelling of 11928492 in words is "eleven million, nine hundred twenty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 89 102 108 146 153 178 204 219 267 292 306 356 438 459 534 612 657 801 876 918 1068 1241 1314 1513 1602 1836 1971 2403 2482 2628 3026 3204 3723 3942 4539 4806 4964 6052 6497 7446 7884 9078 9612 11169 12994 13617 14892 18156 19491 22338 25988 27234 33507 38982 40851 44676 54468 58473 67014 77964 81702 110449 116946 134028 163404 175419 220898 233892 331347 350838 441796 662694 701676 994041 1325388 1988082 2982123 3976164 5964246 11928492