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38254248 = 23332931197
BaseRepresentation
bin1001000111101…
…1011010101000
32122222111222000
42101323122220
534243113443
63443531000
7643104264
oct221733250
978874860
1038254248
111a658a8a
1210989a60
137c05066
14511b0a4
1535598d3
hex247b6a8

38254248 has 128 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 11854080.

The previous prime is 38254231. The next prime is 38254273. The reversal of 38254248 is 84245283.

38254248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194086 + ... + 194282.

It is an arithmetic number, because the mean of its divisors is an integer number (891000).

Almost surely, 238254248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38254248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024000).

38254248 is an abundant number, since it is smaller than the sum of its proper divisors (75793752).

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

38254248 is a wasteful number, since it uses less digits than its factorization.

38254248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 38254248 is about 6185.0018593368. The cubic root of 38254248 is about 336.9456777137.

The spelling of 38254248 in words is "thirty-eight million, two hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 197 216 232 248 261 279 348 372 394 522 558 591 696 744 783 788 837 899 1044 1116 1182 1566 1576 1674 1773 1798 2088 2232 2364 2697 3132 3348 3546 3596 4728 5319 5394 5713 6107 6264 6696 7092 7192 8091 10638 10788 11426 12214 14184 16182 17139 18321 21276 21576 22852 24273 24428 32364 34278 36642 42552 45704 48546 48856 51417 54963 64728 68556 73284 97092 102834 109926 137112 146568 154251 164889 177103 194184 205668 219852 308502 329778 354206 411336 439704 531309 617004 659556 708412 1062618 1234008 1319112 1416824 1593927 2125236 3187854 4250472 4781781 6375708 9563562 12751416 19127124 38254248