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38425296 = 24371319463
BaseRepresentation
bin1001001010010…
…1001011010000
32200022012121010
42102211023100
534314102141
63451330520
7644416050
oct222451320
980265533
1038425296
111a765548
1210a50a40
137c64b80
145163560
153590416
hex24a52d0

38425296 has 160 divisors (see below), whose sum is σ = 128880640. Its totient is φ = 9580032.

The previous prime is 38425291. The next prime is 38425307. The reversal of 38425296 is 69252483.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38425291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82761 + ... + 83223.

It is an arithmetic number, because the mean of its divisors is an integer number (805504).

Almost surely, 238425296 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 38425296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64440320).

38425296 is an abundant number, since it is smaller than the sum of its proper divisors (90455344).

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

38425296 is a wasteful number, since it uses less digits than its factorization.

38425296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 38425296 is about 6198.8140801286. The cubic root of 38425296 is about 337.4471313620.

The spelling of 38425296 in words is "thirty-eight million, four hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 463 494 532 546 624 728 741 798 912 926 988 1064 1092 1389 1456 1482 1596 1729 1852 1976 2128 2184 2778 2964 3192 3241 3458 3704 3952 4368 5187 5556 5928 6019 6384 6482 6916 7408 8797 9723 10374 11112 11856 12038 12964 13832 17594 18057 19446 20748 22224 24076 25928 26391 27664 35188 36114 38892 41496 42133 48152 51856 52782 61579 70376 72228 77784 82992 84266 96304 105564 114361 123158 126399 140752 144456 155568 168532 184737 211128 228722 246316 252798 288912 337064 343083 369474 422256 457444 492632 505596 674128 686166 738948 800527 914888 985264 1011192 1372332 1477896 1601054 1829776 2022384 2401581 2744664 2955792 3202108 4803162 5489328 6404216 9606324 12808432 19212648 38425296