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38574368 = 257273337
BaseRepresentation
bin1001001100100…
…1100100100000
32200120210002022
42103021210200
534333334433
63454441012
7645606500
oct223114440
980523068
1038574368
111a857548
1210b03168
137cb7991
1451a1a00
1535be698
hex24c9920

38574368 has 72 divisors (see below), whose sum is σ = 89818092. Its totient is φ = 16257024.

The previous prime is 38574299. The next prime is 38574383. The reversal of 38574368 is 86347583.

It can be written as a sum of positive squares in 2 ways, for example, as 38291344 + 283024 = 6188^2 + 532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114296 + ... + 114632.

Almost surely, 238574368 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 38574368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44909046).

38574368 is an abundant number, since it is smaller than the sum of its proper divisors (51243724).

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

38574368 is a wasteful number, since it uses less digits than its factorization.

38574368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 38574368 is about 6210.8266760553. The cubic root of 38574368 is about 337.8829467582.

The spelling of 38574368 in words is "thirty-eight million, five hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 337 392 511 584 674 784 1022 1168 1348 1568 2044 2336 2359 2696 3577 4088 4718 5392 7154 8176 9436 10784 14308 16352 16513 18872 24601 28616 33026 37744 49202 57232 66052 75488 98404 114464 132104 172207 196808 264208 344414 393616 528416 688828 787232 1205449 1377656 2410898 2755312 4821796 5510624 9643592 19287184 38574368