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38353536 = 2732132197
BaseRepresentation
bin1001001001001…
…1101010000000
32200011120011100
42102103222000
534304303121
63450014400
7643666614
oct222235200
980146140
1038353536
111a716641
1210a17400
137c3b300
145145344
153579026
hex2493a80

38353536 has 144 divisors (see below), whose sum is σ = 120115710. Its totient is φ = 11741184.

The previous prime is 38353519. The next prime is 38353537. The reversal of 38353536 is 63535383.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 7617600 = 5544^2 + 2760^2 .

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

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

Its product of digits (97200) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 38353536.

It is not an unprimeable number, because it can be changed into a prime (38353537) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194590 + ... + 194786.

Almost surely, 238353536 is an apocalyptic number.

38353536 is a gapful number since it is divisible by the number (36) 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 38353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60057855).

38353536 is an abundant number, since it is smaller than the sum of its proper divisors (81762174).

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

38353536 is a wasteful number, since it uses less digits than its factorization.

38353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 38353536 is about 6193.0231712791. The cubic root of 38353536 is about 337.2369373973.

The spelling of 38353536 in words is "thirty-eight million, three hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 197 208 234 288 312 338 384 394 416 468 507 576 591 624 676 788 832 936 1014 1152 1182 1248 1352 1521 1576 1664 1773 1872 2028 2364 2496 2561 2704 3042 3152 3546 3744 4056 4728 4992 5122 5408 6084 6304 7092 7488 7683 8112 9456 10244 10816 12168 12608 14184 14976 15366 16224 18912 20488 21632 23049 24336 25216 28368 30732 32448 33293 37824 40976 46098 48672 56736 61464 64896 66586 75648 81952 92196 97344 99879 113472 122928 133172 163904 184392 194688 199758 226944 245856 266344 299637 327808 368784 399516 491712 532688 599274 737568 799032 983424 1065376 1198548 1475136 1598064 2130752 2397096 2950272 3196128 4261504 4794192 6392256 9588384 12784512 19176768 38353536