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38086488 = 233211192531
BaseRepresentation
bin1001000101001…
…0011101011000
32122122222211200
42101102131120
534222231423
63440154200
7641505216
oct221223530
978588750
1038086488
111a553a40
1210908960
137b768ab
1450b5cb6
153524d43
hex2452758

38086488 has 96 divisors (see below), whose sum is σ = 118497600. Its totient is φ = 10929600.

The previous prime is 38086471. The next prime is 38086493. The reversal of 38086488 is 88468083.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13783 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (1234350).

Almost surely, 238086488 is an apocalyptic number.

38086488 is a gapful number since it is divisible by the number (38) 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 38086488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59248800).

38086488 is an abundant number, since it is smaller than the sum of its proper divisors (80411112).

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

38086488 is a wasteful number, since it uses less digits than its factorization.

38086488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 38086488 is about 6171.4251190467. The cubic root of 38086488 is about 336.4524092848.

It can be divided in two parts, 3808 and 6488, that added together give a triangular number (10296 = T143).

The spelling of 38086488 in words is "thirty-eight million, eighty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 2531 3762 5016 5062 7524 7593 10124 15048 15186 20248 22779 27841 30372 45558 48089 55682 60744 83523 91116 96178 111364 144267 167046 182232 192356 222728 250569 288534 334092 384712 432801 501138 528979 577068 668184 865602 1002276 1057958 1154136 1586937 1731204 2004552 2115916 3173874 3462408 4231832 4760811 6347748 9521622 12695496 19043244 38086488