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38228736 = 283713547
BaseRepresentation
bin1001000111010…
…1001100000000
32122221012222010
42101311030000
534241304421
63443212520
7642640020
oct221651400
978835863
1038228736
111a6408a7
1210977140
137bc6570
145111a80
153552076
hex2475300

38228736 has 144 divisors (see below), whose sum is σ = 125452544. Its totient is φ = 10063872.

The previous prime is 38228731. The next prime is 38228747. The reversal of 38228736 is 63782283.

It is a happy number.

It is a super-2 number, since 2×382287362 = 2922872512315392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a junction number, because it is equal to n+sod(n) for n = 38228694 and 38228703.

It is not an unprimeable number, because it can be changed into a prime (38228731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69615 + ... + 70161.

Almost surely, 238228736 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 38228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726272).

38228736 is an abundant number, since it is smaller than the sum of its proper divisors (87223808).

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

38228736 is a wasteful number, since it uses less digits than its factorization.

38228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 38228736 is about 6182.9391069296. The cubic root of 38228736 is about 336.8707573215.

It can be divided in two parts, 38 and 228736, that multiplied together give a palindrome (8691968).

The spelling of 38228736 in words is "thirty-eight million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 547 624 672 728 768 832 896 1092 1094 1248 1344 1456 1641 1664 1792 2184 2188 2496 2688 2912 3282 3328 3829 4368 4376 4992 5376 5824 6564 7111 7658 8736 8752 9984 11487 11648 13128 14222 15316 17472 17504 21333 22974 23296 26256 28444 30632 34944 35008 42666 45948 49777 52512 56888 61264 69888 70016 85332 91896 99554 105024 113776 122528 140032 149331 170664 183792 199108 210048 227552 245056 298662 341328 367584 398216 420096 455104 490112 597324 682656 735168 796432 910208 980224 1194648 1365312 1470336 1592864 1820416 2389296 2730624 2940672 3185728 4778592 5461248 6371456 9557184 12742912 19114368 38228736