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38248224 = 2537247173
BaseRepresentation
bin1001000111100…
…1111100100000
32122222012200220
42101321330200
534242420344
63443443040
7643050600
oct221717440
978865626
1038248224
111a654503
1210986480
137c023b1
145118c00
153557c19
hex2479f20

38248224 has 144 divisors (see below), whose sum is σ = 119968128. Its totient is φ = 10633728.

The previous prime is 38248211. The next prime is 38248229. The reversal of 38248224 is 42284283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38248229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221002 + ... + 221174.

It is an arithmetic number, because the mean of its divisors is an integer number (833112).

Almost surely, 238248224 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 38248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984064).

38248224 is an abundant number, since it is smaller than the sum of its proper divisors (81719904).

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

38248224 is a wasteful number, since it uses less digits than its factorization.

38248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 38248224 is about 6184.5148556698. The cubic root of 38248224 is about 336.9279902025.

The spelling of 38248224 in words is "thirty-eight million, two hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 173 188 196 224 282 294 329 336 346 376 392 519 564 588 658 672 692 752 784 987 1038 1128 1176 1211 1316 1384 1504 1568 1974 2076 2256 2303 2352 2422 2632 2768 3633 3948 4152 4512 4606 4704 4844 5264 5536 6909 7266 7896 8131 8304 8477 9212 9688 10528 13818 14532 15792 16262 16608 16954 18424 19376 24393 25431 27636 29064 31584 32524 33908 36848 38752 48786 50862 55272 56917 58128 65048 67816 73696 97572 101724 110544 113834 116256 130096 135632 170751 195144 203448 221088 227668 260192 271264 341502 390288 398419 406896 455336 683004 780576 796838 813792 910672 1195257 1366008 1593676 1821344 2390514 2732016 3187352 4781028 5464032 6374704 9562056 12749408 19124112 38248224