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12193488 = 2432172293
BaseRepresentation
bin101110100000…
…111011010000
3211221111022200
4232200323100
511110142423
61113203200
7205433346
oct56407320
924844280
1012193488
11697916a
124100500
1326ac0a8
141895996
15110cd43
hexba0ed0

12193488 has 90 divisors (see below), whose sum is σ = 36373974. Its totient is φ = 3812352.

The previous prime is 12193487. The next prime is 12193499. The reversal of 12193488 is 88439121.

It can be written as a sum of positive squares in 3 ways, for example, as 8225424 + 3968064 = 2868^2 + 1992^2 .

It is a super-2 number, since 2×121934882 = 297362299212288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193483) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 41470 + ... + 41762.

Almost surely, 212193488 is an apocalyptic number.

12193488 is a gapful number since it is divisible by the number (18) 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 12193488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186987).

12193488 is an abundant number, since it is smaller than the sum of its proper divisors (24180486).

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

12193488 is a wasteful number, since it uses less digits than its factorization.

12193488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 12193488 is about 3491.9175247992. The cubic root of 12193488 is about 230.1667851382.

The spelling of 12193488 in words is "twelve million, one hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 293 306 408 578 586 612 816 867 879 1156 1172 1224 1734 1758 2312 2344 2448 2601 2637 3468 3516 4624 4688 4981 5202 5274 6936 7032 9962 10404 10548 13872 14064 14943 19924 20808 21096 29886 39848 41616 42192 44829 59772 79696 84677 89658 119544 169354 179316 239088 254031 338708 358632 508062 677416 717264 762093 1016124 1354832 1524186 2032248 3048372 4064496 6096744 12193488