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112795488 = 25321347641
BaseRepresentation
bin1101011100100…
…01111101100000
321212020121022200
412232101331200
5212333423423
615105333200
72536513551
oct656217540
9255217280
10112795488
1158740a13
1231937200
131a4a38c0
1410da2328
159d80d43
hex6b91f60

112795488 has 144 divisors (see below), whose sum is σ = 353336256. Its totient is φ = 33914880.

The previous prime is 112795451. The next prime is 112795513. The reversal of 112795488 is 884597211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1127954882 = 25445644226316288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175648 + ... + 176288.

It is an arithmetic number, because the mean of its divisors is an integer number (2453724).

Almost surely, 2112795488 is an apocalyptic number.

112795488 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 112795488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176668128).

112795488 is an abundant number, since it is smaller than the sum of its proper divisors (240540768).

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

112795488 is a wasteful number, since it uses less digits than its factorization.

112795488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 112795488 is about 10620.5220210685. The cubic root of 112795488 is about 483.1669754340.

The spelling of 112795488 in words is "one hundred twelve million, seven hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 72 78 94 96 104 117 141 144 156 188 208 234 282 288 312 376 416 423 468 564 611 624 641 752 846 936 1128 1222 1248 1282 1504 1692 1833 1872 1923 2256 2444 2564 3384 3666 3744 3846 4512 4888 5128 5499 5769 6768 7332 7692 8333 9776 10256 10998 11538 13536 14664 15384 16666 19552 20512 21996 23076 24999 29328 30127 30768 33332 43992 46152 49998 58656 60254 61536 66664 74997 87984 90381 92304 99996 120508 133328 149994 175968 180762 184608 199992 241016 266656 271143 299988 361524 391651 399984 482032 542286 599976 723048 783302 799968 964064 1084572 1174953 1199952 1446096 1566604 2169144 2349906 2399904 2892192 3133208 3524859 4338288 4699812 6266416 7049718 8676576 9399624 12532832 14099436 18799248 28198872 37598496 56397744 112795488